NAME
Math::NumSeq::TotientStepsSum  sum of repeated totients to reach 1
SYNOPSIS
use Math::NumSeq::TotientStepsSum;
my $seq = Math::NumSeq::TotientStepsSum>new;
my ($i, $value) = $seq>next;
DESCRIPTION
The sum of the totients on repeatedly applying the totient function to reach 1.
1, 3, 6, 7, 12, 9, 16, 15, 18, 17, 28, 19, 32, ...
For example i=5 applying the totient function goes 5 > 4 > 2 > 1 so total value=5+4+2+1=12.
The default is to include the initial i itself in the sum. Option including_self => 0
excludes, in which case for example i=5 has value=4+2+1=7.
0, 1, 3, 3, 7, 3, 9, 7, 9, 7, 17, 7, 19, ...
See Math::NumSeq::TotientPerfect for totient sums equal to i itself.
FUNCTIONS
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::TotientStepsSum>new ()

Create and return a new sequence object.
Random Access
$value = $seq>ith($i)

Return the totient steps sum running i down to 1.
SEE ALSO
Math::NumSeq, Math::NumSeq::Totient, Math::NumSeq::TotientSteps, Math::NumSeq::TotientPerfect
HOME PAGE
http://user42.tuxfamily.org/mathnumseq/index.html
LICENSE
Copyright 2011, 2012, 2013, 2014 Kevin Ryde
MathNumSeq 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.
MathNumSeq 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 MathNumSeq. If not, see <http://www.gnu.org/licenses/>.