1Math::NumSeq::StarNumbeUrsse(r3)Contributed Perl DocumenMtaatthi:o:nNumSeq::StarNumbers(3)
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NAME

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

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

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

18       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
19       classes.
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21       "$seq = Math::NumSeq::StarNumbers->new ()"
22           Create and return a new sequence object.
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24   Random Access
25       "$value = $seq->ith($i)"
26           Return "6*$i*($i-1)+1".
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28       "$bool = $seq->pred($value)"
29           Return true if $value is of the form 6*i*(i-1)+1 for some i.
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31       "$i = $seq->value_to_i_floor($value)"
32       "$i = $seq->value_to_i_estimate($value)"
33           Return the i for the star number <= $value.
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SEE ALSO

36       Math::NumSeq, Math::NumSeq::Polygonal
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HOME PAGE

39       <http://user42.tuxfamily.org/math-numseq/index.html>
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LICENSE

42       Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2017, 2019 Kevin Ryde
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44       Math-NumSeq is free software; you can redistribute it and/or modify it
45       under the terms of the GNU General Public License as published by the
46       Free Software Foundation; either version 3, or (at your option) any
47       later version.
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49       Math-NumSeq is distributed in the hope that it will be useful, but
50       WITHOUT ANY WARRANTY; without even the implied warranty of
51       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
52       General Public License for more details.
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54       You should have received a copy of the GNU General Public License along
55       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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59perl v5.32.0                      2020-07-28      Math::NumSeq::StarNumbers(3)