Kevin Ryde > Math-NumSeq > Math::NumSeq::UndulatingNumbers

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Module Version: 71   Source  

NAME ^

Math::NumSeq::UndulatingNumbers -- numbers with alternating digits ABABAB...

SYNOPSIS ^

 use Math::NumSeq::UndulatingNumbers;
 my $seq = Math::NumSeq::UndulatingNumbers->new (radix => 10);
 my ($i, $value) = $seq->next;

DESCRIPTION ^

This is the sequence of numbers with digits ABABAB... alternating between two values,

    0 ... 99,
    101, 111, 121, 131, ... 191,
    202, 212, 222, 232, ... 292,
    ...
    909, 919, 929, 939, ... 999,
    1010, 1111, 1212, ... 1919,
    ...

Numbers with just 1 or 2 digits are A or AB and are considered of undulating form. This means all numbers up to 99 are undulating.

The default is decimal or the optional radix=>$r can select another radix.

In binary the only two digits are 0 and 1 and the high digit must be 1, so it ens up being just 101... and 111...

    0, 1, 10, 11, 101, 111, 1010, 1111, 10101, 11111, ...
    (in binary)

FUNCTIONS ^

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

$seq = Math::NumSeq::UndulatingNumbers->new ()
$seq = Math::NumSeq::UndulatingNumbers->new (radix => $r)

Create and return a new sequence object. The default radix is 10.

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

Return true if $value is an undulating number, ie. has digits of the form ABABAB...

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

Return the i for the undulating number <= $value.

SEE ALSO ^

Math::NumSeq

HOME PAGE ^

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

LICENSE ^

Copyright 2010, 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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