Kevin Ryde > Math-NumSeq > Math::NumSeq::StarNumbers

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Module Version: 71   Source  

NAME ^

Math::NumSeq::StarNumbers -- star numbers 6*i*(i-1)+1

SYNOPSIS ^

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

DESCRIPTION ^

The sequence of star numbers 1, 13, 37, 73, 121, etc, 6*i*(i-1)+1, also called the centred 12-gonals.

FUNCTIONS ^

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

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

Create and return a new sequence object.

Random Access

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

Return 6*$i*($i-1)+1.

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

Return true if $value is of the form 6*i*(i-1)+1 for some i.

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

Return the i for the star number <= $value.

SEE ALSO ^

Math::NumSeq, Math::NumSeq::Polygonal

HOME PAGE ^

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

LICENSE ^

Copyright 2010, 2011, 2012, 2013, 2014 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/>.

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