Math::NumSeq::GolombSequence -- sequence is its own run lengths, 1 upwards
use Math::NumSeq::GolombSequence; my $seq = Math::NumSeq::GolombSequence->new; my ($i, $value) = $seq->next;
A sequence of integers with each run length being given by the sequence itself.
1, 2,2, 3,3, 4,4,4, 5,5,5, 6,6,6,6,...
Starting from 1,2, at i=2 the value is 2, so there should be a run of two 2s. Then at i=3 value 2 means two 3s. Then at i=4 value 3 means a run of three 4s, and so on.
Values Run Length (is the sequence itself) 1, 1 2,2, 2 3,3, 2 4,4,4, 3 5,5,5, 3 6,6,6,6, 4 ... ...
The default is to use all integers successively for the values. The
using_values option can choose a different set of values. In each case those values from the sequence are the run lengths.
using_values => 'odd' uses only odd numbers,
1, 3,3,3, 5,5,5, 7,7,7, 9,9,9,9,9, ...
using_values => 'even' uses only even numbers,
2,2, 4,4, 6,6,6,6, 8,8,8,8, ...
using_values => '3k' uses only triples,
3,3,3, 6,6,6, 9,9,9, 12,12,12,12,12,12, ...
using_values => 'squares' uses the squares,
1, 4,4,4,4, 9,9,9,9, 16,16,16,16, 25,25,25,25, ...
using_values => 'primes' uses the primes,
2,2, 3,3, 5,5,5, 7,7,7, 11,11,11,11,11, ...
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::GolombSequence->new ()
$seq = Math::NumSeq::GolombSequence->new (using_values => $str)
Create and return a new sequence object. The
using_valuesoption as described above can be
"all" "odd" "even" "3k" "squares" "primes"
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/>.