NAME
Math::NumSeq::Runs  runs of consecutive integers
SYNOPSIS
use Math::NumSeq::Runs;
my $seq = Math::NumSeq::Runs>new;
my ($i, $value) = $seq>next;
DESCRIPTION
This is various kinds of runs of integers. The runs_type
parameter (a string) can be
"0toN" 0, 0,1, 0,1,2, 0,1,2,3, etc runs 0..N
"1toN" 1, 1,2, 1,2,3, 1,2,3,4, etc runs 1..N
"1to2N" 1,2, 1,2,3,4, 1,2,3,4,5,6 etc runs 1..2N
"1to2N+1" 1, 1,2,3, 1,2,3,4,5, etc runs 1..2N+1
"1toFib" 1, 1, 1,2, 1,2,3, 1,2,3,4,5 etc runs 1..Fibonacci
"Nto0" 0, 1,0, 2,1,0, 3,2,1,0, etc runs N..0
"Nto1" 1, 2,1, 3,2,1, 4,3,2,1, etc runs N..1
"0toNinc" 0, 1,2, 2,3,4, 3,4,5,6, etc runs 0..N increasing
"Nrep" 1, 2,2, 3,3,3, 4,4,4,4, etc N repetitions of N
"N+1rep" 0, 1,1, 2,2,2, 3,3,3,3, etc N+1 repetitions of N
"2rep" 0,0, 1,1, 2,2, etc two repetitions of each N
"3rep" 0,0,0, 1,1,1, 2,2,2, etc three repetitions of N
"0toN" and "1toN" differ only the latter being +1. They're related to the triangular numbers (Math::NumSeq::Triangular) in that each run starts at index i=Triangular+1, ie. i=1,2,4,7,11,etc.
"1to2N" is related to the pronic numbers (Math::NumSeq::Pronic) in that each run starts at index i=Pronic+1, ie. i=1,3,7,13,etc.
"1toFib" not only runs up to each Fibonacci number (Math::NumSeq::Fibonacci), but the runs start at i=Fibonacci too, ie. i=1,2,3,5,8,13,etc. This arises because the cumulative total of Fibonacci numbers has F[1]+F[2]+...+F[k]+1 = F[k+2].
FUNCTIONS
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
Random Access
$value = $seq>ith($i)

Return the
$i
'th value from the sequence. $bool = $seq>pred($value)

Return true if
$value
occurs in the sequence. This is merely all integer$value >= 0
or>= 1
according to the start of theruns_type
.
SEE ALSO
Math::NumSeq, Math::NumSeq::AllDigits
HOME PAGE
http://user42.tuxfamily.org/mathnumseq/index.html
LICENSE
Copyright 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2019 Kevin Ryde
MathNumSeq 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.
MathNumSeq 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 MathNumSeq. If not, see <http://www.gnu.org/licenses/>.