Math::NumSeq::Xenodromes -- integers with all digits unique


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


This is integers which have all digits different,

    0, ..., 9, 10, 12, 13, ..., 19, 20, 21, 23, 24, ...
    # starting i=1 value=0

For example 11 is not in the sequence because it has digit 1 appearing twice.

This is a finite sequence since the maximum value with distinct digits is 9876543210.

The optional radix parameter controls the base used for the digits (default decimal). In binary for example there's just three values, 0, 1, 2.


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

$seq = Math::NumSeq::Xenodromes->new ()
$seq = Math::NumSeq::Xenodromes->new (radix => $integer)

Create and return a new sequence object.

Random Access

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

Return the $i'th xenodrome, or undef if $i is beyond the end of the sequence.

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

Return true if $value is a xenodrome, ie. an integer with all digits distinct.


Math::NumSeq, Math::NumSeq::Palindromes



Copyright 2012, 2013, 2014, 2016, 2019, 2020 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 <>.