1Math::NumSeq::TotientStUespesr(3C)ontributed Perl DocumeMnattaht:i:oNnumSeq::TotientSteps(3)
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NAME

6       Math::NumSeq::TotientSteps -- count of repeated totients to reach 1
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SYNOPSIS

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

14       How many repeated applications of the totient function to reach 1, so
15       from i=1
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17           0, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, ...
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19       For example i=5 goes 5 -> 4 -> 2 -> 1 so value=3 steps.
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FUNCTIONS

22       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
23       classes.
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25       "$seq = Math::NumSeq::TotientSteps->new ()"
26           Create and return a new sequence object.
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28   Random Access
29       "$value = $seq->ith($i)"
30           Return the count of totient(i) steps to get down to 1.
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32       "$value = $seq->pred($value)"
33           Return true if $value occurs in the sequence, which simply means a
34           count "$value >= 0".
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SEE ALSO

37       Math::NumSeq, Math::NumSeq::Totient, Math::NumSeq::TotientStepsSum,
38       Math::NumSeq::DedekindPsiSteps
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HOME PAGE

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

44       Copyright 2011, 2012, 2013, 2014, 2016, 2019, 2020, 2021 Kevin Ryde
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46       Math-NumSeq is free software; you can redistribute it and/or modify it
47       under the terms of the GNU General Public License as published by the
48       Free Software Foundation; either version 3, or (at your option) any
49       later version.
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51       Math-NumSeq is distributed in the hope that it will be useful, but
52       WITHOUT ANY WARRANTY; without even the implied warranty of
53       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
54       General Public License for more details.
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56       You should have received a copy of the GNU General Public License along
57       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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61perl v5.36.0                      2023-01-20     Math::NumSeq::TotientSteps(3)
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