Kevin Ryde > Math-NumSeq > Math::NumSeq::CullenNumbers

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Module Version: 71   Source  

NAME ^

Math::NumSeq::CullenNumbers -- Cullen numbers i*2^i+1

SYNOPSIS ^

 use Math::NumSeq::CullenNumbers;
 my $seq = Math::NumSeq::CullenNumbers->new;
 my ($i, $value) = $seq->next;

DESCRIPTION ^

The Cullen numbers i*2^i+1 starting from i=0,

    1, 3, 9, 25, 65, 161, 385, 897, 2049, 4609, 10241, ...

FUNCTIONS ^

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::CullenNumbers->new ()

Create and return a new sequence object.

Random Access

$value = $seq->ith($i)

Return $i * 2**$i + 1.

$bool = $seq->pred($value)

Return true if $value is a Cullen number, ie. is equal to i*2^i+1 for some i.

$i = $seq->value_to_i_estimate($value)

Return an estimate of the i corresponding to $value.

FORMULAS ^

Value to i Estimate

See "Value to i Estimate" in Math::NumSeq::WoodallNumbers.

SEE ALSO ^

Math::NumSeq, Math::NumSeq::WoodallNumbers

HOME PAGE ^

http://user42.tuxfamily.org/math-numseq/index.html

LICENSE ^

Copyright 2011, 2012, 2013, 2014 Kevin Ryde

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/>.

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