#!/usr/bin/perl -w
# Copyright 2012, 2013 Kevin Ryde
# This file is part of Math-NumSeq.
#
# Math-NumSeq 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.
#
# Math-NumSeq 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 Math-NumSeq. If not, see <http://www.gnu.org/licenses/>.
use 5.004;
use strict;
use List::Util 'max';
use Test;
plan tests => 2;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::PisanoPeriod;
# uncomment this to run the ### lines
#use Smart::Comments '###';
# A175181 - period of Pell numbers mod n
# A175182 Pisano period length of the 3-Fibonacci numbers A006190.
# A175183 Pisano period length of the 4-Fibonacci numbers A001076.
# A175184 Pisano period length of the 5-Fibonacci numbers, A052918 preceeded by 0.
# A175185 Pisano period length of the 6-Fibonacci numbers A005668.
#------------------------------------------------------------------------------
# A071774 n for which period(n)==2n+1
# or rather period==2n+2 in reckoning of PisanoPeriod
# primes final digit 3 or 7
MyOEIS::compare_values
(anum => 'A071774',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::PisanoPeriod->new;
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next or last;
if ($value == 2*$i+2) {
push @got, $i;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A060305 - period mod prime(n)
MyOEIS::compare_values
(anum => 'A060305',
func => sub {
my ($count) = @_;
require Math::NumSeq::Primes;
my $primes = Math::NumSeq::Primes->new;
my $pisano = Math::NumSeq::PisanoPeriod->new;
my @got;
while (@got < $count) {
my ($i, $prime) = $primes->next or last;
push @got, $pisano->ith($prime);
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;