NAME

Math::NumSeq::SternDiatomic -- Stern's diatomic sequence

SYNOPSIS

 use Math::NumSeq::SternDiatomic;
 my $seq = Math::NumSeq::SternDiatomic->new;
 my ($i, $value) = $seq->next;

DESCRIPTION

Moritz Stern's diatomic sequence 0,1,1,2,1,3,2,3,etc. It's constructed by successive levels as D(2*i)=D(i) and D(2*i+1)=D(i+1), so effectively the sequence is extended by interleaving the previous level with sums of adjacent terms,

   1,            i=0
   1,2,          i=1,2
   1,3,2,3,      i=3,4,5,6

The last row is a copy of 1,2 interleaving the sums 1+2 and 2+1. For the latter it's the end 2 at i=2 and then the 1 at the start of the next row i=3.

FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::SternDiatomic->new ()

Create and return a new sequence object.

$bool = $seq->pred($value)

Return true if $value occurs in the sequence, which means simply $value=0>.

SEE ALSO

Math::NumSeq

HOME PAGE

http://user42.tuxfamily.org/math-numseq/index.html

LICENSE

Copyright 2011, 2012 Kevin Ryde

Math-NumSeq 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-NumSeq 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-NumSeq. If not, see <http://www.gnu.org/licenses/>.