1Math::NumSeq::TotientStUespesr(3C)ontributed Perl DocumeMnattaht:i:oNnumSeq::TotientSteps(3)
2
3
4

NAME

6       Math::NumSeq::TotientSteps -- count of repeated totients to reach 1
7

SYNOPSIS

9        use Math::NumSeq::TotientSteps;
10        my $seq = Math::NumSeq::TotientSteps->new;
11        my ($i, $value) = $seq->next;
12

DESCRIPTION

14       How many repeated applications of the totient function to reach 1, so
15       from i=1
16
17           0, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, ...
18
19       For example i=5 goes 5- > 4 -> 2 -> 1 so value=3 steps.
20

FUNCTIONS

22       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
23       classes.
24
25       "$seq = Math::NumSeq::TotientSteps->new ()"
26           Create and return a new sequence object.
27
28   Random Access
29       "$value = $seq->ith($i)"
30           Return the count of totient(i) steps to get down to 1.
31
32       "$value = $seq->pred($value)"
33           Return true if $value occurs in the sequence, which simply means a
34           count "$value >= 0".
35

SEE ALSO

37       Math::NumSeq, Math::NumSeq::Totient, Math::NumSeq::TotientStepsSum,
38       Math::NumSeq::DedekindPsiSteps
39

HOME PAGE

41       <http://user42.tuxfamily.org/math-numseq/index.html>
42

LICENSE

44       Copyright 2011, 2012, 2013, 2014 Kevin Ryde
45
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.
50
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.
55
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/>.
58
59
60
61perl v5.28.0                      2014-06-29     Math::NumSeq::TotientSteps(3)
Impressum