1Math::NumSeq::ReReplaceU(s3e)r Contributed Perl DocumentaMtaitohn::NumSeq::ReReplace(3)
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NAME

6       Math::NumSeq::ReReplace -- sequence of repeated replacements
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SYNOPSIS

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

14       This is a sequence by David Madore formed by repeatedly replacing every
15       N'th occurrence of a term with N.
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17           1, 2, 1, 2, 3, 3, 1, 2, 4, 4, 3, 4, ...
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19       As per
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21           David Madore, "have you seen this sequence?", sci.math.research, 24
22           Oct 2004,
23           <http://sci.tech-archive.net/Archive/sci.math.research/2004-10/0218.html>
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25           <http://www.madore.org/~david/.misc/seq.png>
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27   Stages
28       The generating procedure begins with all 1s,
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30           stage 0: 1,1,1,1,1,1,1,1,1,1,1,1,...
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32       Then every second 1 is changed to 2
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34           stage 1: 1,2,1,2,1,2,1,2,1,2,1,2,...
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36       Then every third 1 is changed to 3, and every third 2 changed to 3
37       also,
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39           stage 2: 1,2,1,2,3,3,1,2,1,2,3,3,...
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41       Then every fourth 1 becomes 4, every fourth 2 becomes 4, and every
42       fourth 3 becomes 4.
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44           stage 3: 1,2,1,2,3,3,1,2,4,4,3,4,...
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46       The replacement by N of every Nth is applied separately to the 1s, 2s,
47       3s etc remaining at each stage.
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49       The optional "stage => $n" parameter limits the replacements to a given
50       number of stages of the algorithm.  The default -1 means unlimited.
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FUNCTIONS

53       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
54       classes.
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56       "$seq = Math::NumSeq::ReReplace->new ()"
57       "$seq = Math::NumSeq::ReRound->new (stages => $integer)"
58           Create and return a new sequence object.
59
60       "$bool = $seq->pred($value)"
61           Return true if $value occurs in the sequence.  This merely means
62           integer "$value >= 1".
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SEE ALSO

65       Math::NumSeq, Math::NumSeq::ReRound
66

HOME PAGE

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

71       Copyright 2012, 2013, 2014 Kevin Ryde
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73       Math-NumSeq is free software; you can redistribute it and/or modify it
74       under the terms of the GNU General Public License as published by the
75       Free Software Foundation; either version 3, or (at your option) any
76       later version.
77
78       Math-NumSeq is distributed in the hope that it will be useful, but
79       WITHOUT ANY WARRANTY; without even the implied warranty of
80       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
81       General Public License for more details.
82
83       You should have received a copy of the GNU General Public License along
84       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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88perl v5.28.0                      2014-06-29        Math::NumSeq::ReReplace(3)
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