#!/usr/bin/perl -w
# Copyright 2012 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 5.010;
use strict;
# uncomment this to run the ### lines
use Smart::Comments;
{
# total count xenodromes of each radix
# 4 + 4*4 + 4*4*3 + 4*4*3*2 + 4*4*3*2*1 = 260
# 5 + 5*5 + 5*5*4 + 5*5*4*3 + 5*5*4*3*2 + 5*5*4*3*2*1 = 1630
foreach my $radix (2 .. 10) {
my $total = 0;
foreach my $len (1 .. $radix) {
my $part = $radix-1;
my $prod = $radix-1;
foreach my $i (2 .. $len) {
$part *= $prod;
$prod--;
}
$total += $part;
}
print "$total,";
}
print "\n";
exit 0;
}