NAME

Math::NumSeq::Perrin -- Perrin sequence

SYNOPSIS

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

DESCRIPTION

The Perrin sequence,

3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17, 22, 29, 39, 51, ...  (A001608)

which is the recurrence

P(i) = P(i-2) + P(i-3)

starting from 3,0,2. So for example 29 is 12+17.

12, 17, 22, 29

 |   |       ^
 |   |       |
 +---+---add-+

FUNCTIONS

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

$seq = Math::NumSeq::Perrin->new (length => $integer)

Create and return a new sequence object.

Random Access

$value = $seq->ith($i)

Return the $i'th value from the sequence.

$i = $seq->value_to_i_estimate($value)

Return an estimate of the i corresponding to $value.

SEE ALSO

Math::NumSeq, Math::NumSeq::Fibonacci

HOME PAGE

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

LICENSE

Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020, 2021 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/>.