# Copyright 2011, 2012, 2013, 2014 Kevin Ryde # Generated by Math-NumSeq tools/make-oeis-catalogue.pl -- DO NOT EDIT # This file is part of Math-PlanePath. # # Math-PlanePath is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by the # Free Software Foundation; either version 3, or (at your option) any later # version. # # Math-PlanePath is distributed in the hope that it will be useful, but # WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY # or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License # for more details. # # You should have received a copy of the GNU General Public License along # with Math-PlanePath. If not, see . package Math::NumSeq::OEIS::Catalogue::Plugin::PlanePath; use 5.004; use strict; use vars '$VERSION', '@ISA'; $VERSION = 129; use Math::NumSeq::OEIS::Catalogue::Plugin; @ISA = ('Math::NumSeq::OEIS::Catalogue::Plugin'); ## no critic (CodeLayout::RequireTrailingCommaAtNewline) # total 300 A-numbers in 4 modules use constant info_arrayref => [ { 'anum' => 'A174344', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SquareSpiral', 'coordinate_type', 'X' ] }, { 'anum' => 'A214526', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SquareSpiral', 'coordinate_type', 'SumAbs' ] }, { 'anum' => 'A336336', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SquareSpiral', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A180714', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SquareSpiral,n_start=0', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A329116', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidSpiral,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A329972', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidSpiral,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A053615', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidSpiral,n_start=0', 'coordinate_type', 'ExperimentalAbsX' ] }, { 'anum' => 'A010751', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiamondSpiral,n_start=0' ] }, { 'anum' => 'A305258', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiamondSpiral,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A328818', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HexSpiral,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A307012', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HexSpiral,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A321768', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree', 'coordinate_type', 'X' ] }, { 'anum' => 'A321769', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree', 'coordinate_type', 'Y' ] }, { 'anum' => 'A321770', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree,coordinates=AC', 'coordinate_type', 'Y' ] }, { 'anum' => 'A321782', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree,coordinates=PQ', 'coordinate_type', 'X' ] }, { 'anum' => 'A321783', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree,coordinates=PQ', 'coordinate_type', 'Y' ] }, { 'anum' => 'A321784', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree,coordinates=PQ', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A321785', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PythagoreanTree,coordinates=PQ', 'coordinate_type', 'DiffXY' ] }, { 'anum' => 'A153036', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree', 'coordinate_type', 'IntXY' ] }, { 'anum' => 'A000523', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree', 'coordinate_type', 'Depth' ] }, { 'anum' => 'A070871', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=CW', 'coordinate_type', 'Product' ] }, { 'anum' => 'A020650', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=AYT', 'coordinate_type', 'X' ] }, { 'anum' => 'A020651', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=AYT', 'coordinate_type', 'Y' ] }, { 'anum' => 'A135523', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=AYT', 'coordinate_type', 'IntXY' ] }, { 'anum' => 'A162909', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=Bird', 'coordinate_type', 'X' ] }, { 'anum' => 'A162910', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=Bird', 'coordinate_type', 'Y' ] }, { 'anum' => 'A162911', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=Drib', 'coordinate_type', 'X' ] }, { 'anum' => 'A162912', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=Drib', 'coordinate_type', 'Y' ] }, { 'anum' => 'A174981', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=L', 'coordinate_type', 'X' ] }, { 'anum' => 'A086592', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'FractionsTree', 'coordinate_type', 'Y' ] }, { 'anum' => 'A191379', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ChanTree' ] }, { 'anum' => 'A163528', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PeanoCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A163529', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PeanoCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A163530', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PeanoCurve', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A163531', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PeanoCurve', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A059253', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HilbertCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A059252', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HilbertCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A059261', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HilbertCurve', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A059285', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HilbertCurve', 'coordinate_type', 'DiffXY' ] }, { 'anum' => 'A163547', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HilbertCurve', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A059905', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A059906', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A292373', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve', 'coordinate_type', 'BitAnd' ] }, { 'anum' => 'A309952', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve', 'coordinate_type', 'BitXor' ] }, { 'anum' => 'A163325', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve,radix=3', 'coordinate_type', 'X' ] }, { 'anum' => 'A163326', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve,radix=3', 'coordinate_type', 'Y' ] }, { 'anum' => 'A080463', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve,radix=10', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A080464', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve,radix=10', 'coordinate_type', 'Product', 'i_start', 10 ] }, { 'anum' => 'A080465', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ZOrderCurve,radix=10', 'coordinate_type', 'AbsDiff', 'i_start', 10 ] }, { 'anum' => 'A334486', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Flowsnake', 'coordinate_type', 'Y' ] }, { 'anum' => 'A332246', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'QuadricCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A332247', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'QuadricCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A334483', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SierpinskiArrowhead,align=diagonal', 'coordinate_type', 'X' ] }, { 'anum' => 'A334484', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'SierpinskiArrowhead,align=diagonal', 'coordinate_type', 'Y' ] }, { 'anum' => 'A334235', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HIndexing', 'coordinate_type', 'X' ] }, { 'anum' => 'A334236', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'HIndexing', 'coordinate_type', 'Y' ] }, { 'anum' => 'A332383', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DragonCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A332384', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DragonCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A334576', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'AlternatePaperMidpoint', 'coordinate_type', 'X' ] }, { 'anum' => 'A334577', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'AlternatePaperMidpoint', 'coordinate_type', 'Y' ] }, { 'anum' => 'A332251', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CCurve', 'coordinate_type', 'X' ] }, { 'anum' => 'A332252', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CCurve', 'coordinate_type', 'Y' ] }, { 'anum' => 'A318438', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ComplexMinus', 'coordinate_type', 'X' ] }, { 'anum' => 'A318439', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ComplexMinus', 'coordinate_type', 'Y' ] }, { 'anum' => 'A318479', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'ComplexMinus', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A057554', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals', 'coordinate_type', 'ExperimentalPairsXY' ] }, { 'anum' => 'A164306', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=0', 'coordinate_type', 'ExperimentalNumerator' ] }, { 'anum' => 'A167192', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=0', 'coordinate_type', 'ExperimentalDenominator' ] }, { 'anum' => 'A003991', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'Product' ] }, { 'anum' => 'A003989', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'GCD' ] }, { 'anum' => 'A003983', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'Min' ] }, { 'anum' => 'A051125', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'Max' ] }, { 'anum' => 'A004199', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'IntXY' ] }, { 'anum' => 'A057555', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,x_start=1,y_start=1', 'coordinate_type', 'ExperimentalPairsXY' ] }, { 'anum' => 'A003988', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,direction=up,x_start=1,y_start=1', 'coordinate_type', 'IntXY' ] }, { 'anum' => 'A112543', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,direction=up,x_start=1,y_start=1', 'coordinate_type', 'ExperimentalNumerator' ] }, { 'anum' => 'A112544', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,direction=up,x_start=1,y_start=1', 'coordinate_type', 'ExperimentalDenominator' ] }, { 'anum' => 'A004247', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'Product' ] }, { 'anum' => 'A114327', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'DiffYX' ] }, { 'anum' => 'A049581', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'AbsDiff' ] }, { 'anum' => 'A048147', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A004198', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'BitAnd' ] }, { 'anum' => 'A003986', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'BitOr' ] }, { 'anum' => 'A003987', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'BitXor' ] }, { 'anum' => 'A109004', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'GCD' ] }, { 'anum' => 'A004197', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'Min' ] }, { 'anum' => 'A003984', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'Max' ] }, { 'anum' => 'A101080', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'coordinate_type', 'ExperimentalHammingDist' ] }, { 'anum' => 'A319572', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalsAlternating,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A319573', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalsAlternating,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A055087', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalsOctant,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A055086', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalsOctant,n_start=0', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A082375', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalsOctant,n_start=0', 'coordinate_type', 'DiffYX' ] }, { 'anum' => 'A213088', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'Corner', 'coordinate_type', 'Sum' ] }, { 'anum' => 'A319290', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CornerAlternating,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A319289', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CornerAlternating,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A079904', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'coordinate_type', 'Product' ] }, { 'anum' => 'A069011', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A080099', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'coordinate_type', 'BitAnd' ] }, { 'anum' => 'A080098', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'coordinate_type', 'BitOr' ] }, { 'anum' => 'A051933', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'coordinate_type', 'BitXor' ] }, { 'anum' => 'A196199', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A000196', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A180447', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=3,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A060511', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'PyramidRows,step=4,align=right,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A004396', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CellularRule,rule=6,n_start=0', 'coordinate_type', 'Y' ] }, { 'anum' => 'A131452', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CellularRule,rule=6,n_start=0', 'coordinate_type', 'SumAbs' ] }, { 'anum' => 'A004523', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CellularRule,rule=20,n_start=0', 'coordinate_type', 'X' ] }, { 'anum' => 'A004773', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CellularRule,rule=20,n_start=0', 'coordinate_type', 'SumAbs' ] }, { 'anum' => 'A020652', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalRationals', 'coordinate_type', 'X' ] }, { 'anum' => 'A020653', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DiagonalRationals', 'coordinate_type', 'Y' ] }, { 'anum' => 'A071974', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'FactorRationals', 'coordinate_type', 'X' ] }, { 'anum' => 'A071975', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'FactorRationals', 'coordinate_type', 'Y' ] }, { 'anum' => 'A019554', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'FactorRationals', 'coordinate_type', 'Product' ] }, { 'anum' => 'A226314', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'GcdRationals', 'coordinate_type', 'X' ] }, { 'anum' => 'A054531', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'GcdRationals', 'coordinate_type', 'Y' ] }, { 'anum' => 'A038567', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CoprimeColumns', 'coordinate_type', 'X' ] }, { 'anum' => 'A038566', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CoprimeColumns,n_start=1', 'coordinate_type', 'Y' ] }, { 'anum' => 'A061017', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DivisibleColumns,n_start=1', 'coordinate_type', 'X' ] }, { 'anum' => 'A027750', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DivisibleColumns,n_start=1', 'coordinate_type', 'Y' ] }, { 'anum' => 'A056538', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DivisibleColumns,n_start=1', 'coordinate_type', 'IntXY' ] }, { 'anum' => 'A208460', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'DivisibleColumns,divisor_type=proper,n_start=2', 'coordinate_type', 'DiffXY' ] }, { 'anum' => 'A316657', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'QuintetReplicate', 'coordinate_type', 'X' ] }, { 'anum' => 'A316658', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'QuintetReplicate', 'coordinate_type', 'Y' ] }, { 'anum' => 'A316707', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'QuintetReplicate', 'coordinate_type', 'RSquared' ] }, { 'anum' => 'A139351', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'CornerReplicate', 'coordinate_type', 'ExperimentalHammingDist' ] }, { 'anum' => 'A019586', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'WythoffArray', 'coordinate_type', 'Y' ] }, { 'anum' => 'A191360', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'WythoffArray', 'coordinate_type', 'DiffXY' ] }, { 'anum' => 'A035612', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'WythoffArray,x_start=1,y_start=1' ] }, { 'anum' => 'A003603', 'class' => 'Math::NumSeq::PlanePathCoord', 'parameters' => [ 'planepath', 'WythoffArray,x_start=1,y_start=1', 'coordinate_type', 'Y' ] }, { 'anum' => 'A079813', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'SquareSpiral', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A339265', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'PyramidSpiral,n_start=0', 'delta_type', 'dX' ] }, { 'anum' => 'A204439', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'TriangleSpiralSkewed,skew=left', 'delta_type', 'AbsdX' ] }, { 'anum' => 'A204437', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'TriangleSpiralSkewed,skew=left', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A204435', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'TriangleSpiralSkewed,skew=right', 'delta_type', 'AbsdX' ] }, { 'anum' => 'A003982', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'DiamondSpiral,n_start=0', 'delta_type', 'dSumAbs' ] }, { 'anum' => 'A023532', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'AztecDiamondRings,n_start=0', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A070990', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=L', 'delta_type', 'dY' ] }, { 'anum' => 'A011655', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'KochCurve', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A246960', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'DragonCurve', 'delta_type', 'Dir4' ] }, { 'anum' => 'A166486', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'DragonRounded', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A152822', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'DragonRounded', 'delta_type', 'AbsdX' ] }, { 'anum' => 'A010059', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CCurve', 'delta_type', 'AbsdX' ] }, { 'anum' => 'A033999', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Rows,width=2,n_start=0', 'delta_type', 'dX' ] }, { 'anum' => 'A124625', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Rows,width=2,n_start=0', 'delta_type', 'dRSquared' ] }, { 'anum' => 'A010673', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Rows,width=2,n_start=0', 'delta_type', 'TDir6' ] }, { 'anum' => 'A061347', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Rows,width=3', 'delta_type', 'dX' ] }, { 'anum' => 'A131561', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Rows,width=3,n_start=0', 'delta_type', 'dSum' ] }, { 'anum' => 'A127949', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Diagonals', 'delta_type', 'dY' ] }, { 'anum' => 'A051340', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A023531', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'PyramidRows,step=1,n_start=0', 'delta_type', 'dY' ] }, { 'anum' => 'A049240', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'PyramidSides', 'delta_type', 'AbsdY' ] }, { 'anum' => 'A177702', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CellularRule,rule=20,n_start=0', 'delta_type', 'dSumAbs' ] }, { 'anum' => 'A102283', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CellularRule,rule=6,n_start=0', 'delta_type', 'dSum' ] }, { 'anum' => 'A131756', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CellularRule,rule=6,n_start=0', 'delta_type', 'dSumAbs' ] }, { 'anum' => 'A062157', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CellularRule,rule=14,n_start=0', 'delta_type', 'dSum' ] }, { 'anum' => 'A109613', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'CellularRule,rule=84,n_start=0', 'delta_type', 'dRSquared' ] }, { 'anum' => 'A171587', 'class' => 'Math::NumSeq::PlanePathDelta', 'parameters' => [ 'planepath', 'FibonacciWordFractal', 'delta_type', 'AbsdX' ] }, { 'anum' => 'A054552', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral' ] }, { 'anum' => 'A033951', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral', 'line_type', 'Y_neg' ] }, { 'anum' => 'A053755', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral', 'line_type', 'Diagonal_NW' ] }, { 'anum' => 'A016754', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral', 'line_type', 'Diagonal_SE' ] }, { 'anum' => 'A033991', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral,n_start=0', 'line_type', 'Y_axis' ] }, { 'anum' => 'A002939', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral,n_start=0', 'line_type', 'Diagonal' ] }, { 'anum' => 'A002943', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral,n_start=0', 'line_type', 'Diagonal_SW' ] }, { 'anum' => 'A069894', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'SquareSpiral,wider=1', 'line_type', 'Diagonal_SW' ] }, { 'anum' => 'A185669', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidSpiral,n_start=2', 'line_type', 'Diagonal_SE' ] }, { 'anum' => 'A062741', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'TriangleSpiral,n_start=0', 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=> 'A094159', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'AnvilSpiral,n_start=0', 'line_type', 'Diagonal_NW' ] }, { 'anum' => 'A049453', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'AnvilSpiral,n_start=0', 'line_type', 'Diagonal_SW' ] }, { 'anum' => 'A195319', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'AnvilSpiral,n_start=0', 'line_type', 'Diagonal_SE' ] }, { 'anum' => 'A051132', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Hypot,n_start=0' ] }, { 'anum' => 'A036702', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'HypotOctant,points=even', 'line_type', 'Diagonal' ] }, { 'anum' => 'A007051', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PythagoreanTree', 'line_type', 'Depth_start' ] }, { 'anum' => 'A081254', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'RationalsTree,tree_type=Bird' ] }, { 'anum' => 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=> 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Rows,width=6', 'line_type', 'Y_axis' ] }, { 'anum' => 'A016993', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Rows,width=7', 'line_type', 'Y_axis' ] }, { 'anum' => 'A000124', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Diagonals', 'line_type', 'Y_axis' ] }, { 'anum' => 'A001844', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Diagonals', 'line_type', 'Diagonal' ] }, { 'anum' => 'A096376', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Staircase,n_start=2', 'line_type', 'Diagonal' ] }, { 'anum' => 'A059100', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Corner,n_start=2', 'line_type', 'Y_axis' ] }, { 'anum' => 'A014206', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Corner,n_start=2', 'line_type', 'Diagonal' ] }, { 'anum' => 'A028552', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Corner,wider=2,n_start=0', 'line_type', 'Diagonal' ] }, { 'anum' => 'A028387', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'Corner,wider=2,n_start=1', 'line_type', 'Diagonal' ] }, { 'anum' => 'A081346', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating' ] }, { 'anum' => 'A081345', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating', 'line_type', 'Y_axis' ] }, { 'anum' => 'A081347', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=1' ] }, { 'anum' => 'A081348', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=1', 'line_type', 'Y_axis' ] }, { 'anum' => 'A080335', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=1', 'line_type', 'Diagonal' ] }, { 'anum' => 'A081350', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=2' ] }, { 'anum' => 'A081351', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=2', 'line_type', 'Y_axis' ] }, { 'anum' => 'A081352', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CornerAlternating,wider=2', 'line_type', 'Diagonal' ] }, { 'anum' => 'A104249', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidRows,step=3', 'line_type', 'Y_axis' ] }, { 'anum' => 'A143689', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidRows,step=3', 'line_type', 'Diagonal_NW' ] }, { 'anum' => 'A084849', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidRows,step=4', 'line_type', 'Y_axis' ] }, { 'anum' => 'A046092', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidRows,step=4,n_start=0', 'line_type', 'Diagonal' ] }, { 'anum' => 'A002522', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PyramidSides', 'line_type', 'X_neg' ] }, { 'anum' => 'A061925', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CellularRule,rule=5', 'line_type', 'Y_axis' ] }, { 'anum' => 'A006578', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'CellularRule190,n_start=0', 'line_type', 'Diagonal_NW' ] }, { 'anum' => 'A147562', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'UlamWarburton,n_start=0', 'line_type', 'Depth_start' ] }, { 'anum' => 'A183060', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'UlamWarburton,parts=2,n_start=0', 'line_type', 'Depth_start' ] }, { 'anum' => 'A151922', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'UlamWarburton,parts=1,n_start=1', 'line_type', 'Depth_end' ] }, { 'anum' => 'A151920', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'UlamWarburtonQuarter', 'line_type', 'Depth_end' ] }, { 'anum' => 'A084471', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'DigitGroups,radix=2', 'i_start', 1 ] }, { 'anum' => 'A003622', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'WythoffArray,x_start=1,y_start=1', 'line_type', 'Y_axis' ] }, { 'anum' => 'A020941', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'WythoffArray,x_start=1,y_start=1', 'line_type', 'Diagonal' ] }, { 'anum' => 'A014480', 'class' => 'Math::NumSeq::PlanePathN', 'parameters' => [ 'planepath', 'PowerArray', 'line_type', 'Diagonal' ] }, { 'anum' => 'A163536', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'PeanoCurve', 'turn_type', 'SLR' ] }, { 'anum' => 'A163537', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'PeanoCurve', 'turn_type', 'SRL' ] }, { 'anum' => 'A163542', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'HilbertCurve', 'turn_type', 'SLR' ] }, { 'anum' => 'A163543', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'HilbertCurve', 'turn_type', 'SRL' ] }, { 'anum' => 'A035263', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'KochCurve' ] }, { 'anum' => 'A309873', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'KochCurve', 'turn_type', 'LSR' ] }, { 'anum' => 'A056832', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'KochCurve', 'turn_type', 'SLR' ] }, { 'anum' => 'A034947', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'DragonCurve', 'turn_type', 'LSR' ] }, { 'anum' => 'A099545', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'DragonCurve', 'turn_type', 'Turn4' ] }, { 'anum' => 'A209615', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'AlternatePaper', 'turn_type', 'LSR' ] }, { 'anum' => 'A292077', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'AlternatePaper', 'turn_type', 'Right' ] }, { 'anum' => 'A137893', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'GosperSide' ] }, { 'anum' => 'A060236', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'GosperSide', 'turn_type', 'SLR' ] }, { 'anum' => 'A129184', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Diagonals,n_start=0' ] }, { 'anum' => 'A156319', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Diagonals,n_start=0', 'turn_type', 'SRL' ] }, { 'anum' => 'A097806', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Diagonals,n_start=-1', 'turn_type', 'NotStraight' ] }, { 'anum' => 'A000007', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Corner,wider=1,n_start=-1' ] }, { 'anum' => 'A063524', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Corner,wider=2,n_start=-1' ] }, { 'anum' => 'A185012', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'Corner,wider=3,n_start=-1' ] }, { 'anum' => 'A131534', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'CellularRule,rule=6,n_start=-1', 'turn_type', 'SRL' ] }, { 'anum' => 'A130196', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'CellularRule,rule=20,n_start=-1', 'turn_type', 'SRL' ] }, { 'anum' => 'A176040', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'CellularRule,rule=84,n_start=-1', 'turn_type', 'Turn4' ] }, { 'anum' => 'A156596', 'class' => 'Math::NumSeq::PlanePathTurn', 'parameters' => [ 'planepath', 'FibonacciWordFractal', 'turn_type', 'SRL' ] } ] ; 1; __END__