*****************************************************************************
*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    This information 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.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St001129

-----------------------------------------------------------------------------
Collection: Integer partitions

-----------------------------------------------------------------------------
Description: The product of the squares of the parts of a partition.

-----------------------------------------------------------------------------
References: [1]   Satya Square weighted integer partition [[MathOverflow:295648]]

-----------------------------------------------------------------------------
Code:
def statistic(pi):
    return prod(p^2 for p in pi)


-----------------------------------------------------------------------------
Statistic values:

[]                                => 1
[1]                               => 1
[2]                               => 4
[1,1]                             => 1
[3]                               => 9
[2,1]                             => 4
[1,1,1]                           => 1
[4]                               => 16
[3,1]                             => 9
[2,2]                             => 16
[2,1,1]                           => 4
[1,1,1,1]                         => 1
[5]                               => 25
[4,1]                             => 16
[3,2]                             => 36
[3,1,1]                           => 9
[2,2,1]                           => 16
[2,1,1,1]                         => 4
[1,1,1,1,1]                       => 1
[6]                               => 36
[5,1]                             => 25
[4,2]                             => 64
[4,1,1]                           => 16
[3,3]                             => 81
[3,2,1]                           => 36
[3,1,1,1]                         => 9
[2,2,2]                           => 64
[2,2,1,1]                         => 16
[2,1,1,1,1]                       => 4
[1,1,1,1,1,1]                     => 1
[7]                               => 49
[6,1]                             => 36
[5,2]                             => 100
[5,1,1]                           => 25
[4,3]                             => 144
[4,2,1]                           => 64
[4,1,1,1]                         => 16
[3,3,1]                           => 81
[3,2,2]                           => 144
[3,2,1,1]                         => 36
[3,1,1,1,1]                       => 9
[2,2,2,1]                         => 64
[2,2,1,1,1]                       => 16
[2,1,1,1,1,1]                     => 4
[1,1,1,1,1,1,1]                   => 1
[8]                               => 64
[7,1]                             => 49
[6,2]                             => 144
[6,1,1]                           => 36
[5,3]                             => 225
[5,2,1]                           => 100
[5,1,1,1]                         => 25
[4,4]                             => 256
[4,3,1]                           => 144
[4,2,2]                           => 256
[4,2,1,1]                         => 64
[4,1,1,1,1]                       => 16
[3,3,2]                           => 324
[3,3,1,1]                         => 81
[3,2,2,1]                         => 144
[3,2,1,1,1]                       => 36
[3,1,1,1,1,1]                     => 9
[2,2,2,2]                         => 256
[2,2,2,1,1]                       => 64
[2,2,1,1,1,1]                     => 16
[2,1,1,1,1,1,1]                   => 4
[1,1,1,1,1,1,1,1]                 => 1
[9]                               => 81
[8,1]                             => 64
[7,2]                             => 196
[7,1,1]                           => 49
[6,3]                             => 324
[6,2,1]                           => 144
[6,1,1,1]                         => 36
[5,4]                             => 400
[5,3,1]                           => 225
[5,2,2]                           => 400
[5,2,1,1]                         => 100
[5,1,1,1,1]                       => 25
[4,4,1]                           => 256
[4,3,2]                           => 576
[4,3,1,1]                         => 144
[4,2,2,1]                         => 256
[4,2,1,1,1]                       => 64
[4,1,1,1,1,1]                     => 16
[3,3,3]                           => 729
[3,3,2,1]                         => 324
[3,3,1,1,1]                       => 81
[3,2,2,2]                         => 576
[3,2,2,1,1]                       => 144
[3,2,1,1,1,1]                     => 36
[3,1,1,1,1,1,1]                   => 9
[2,2,2,2,1]                       => 256
[2,2,2,1,1,1]                     => 64
[2,2,1,1,1,1,1]                   => 16
[2,1,1,1,1,1,1,1]                 => 4
[1,1,1,1,1,1,1,1,1]               => 1
[10]                              => 100
[9,1]                             => 81
[8,2]                             => 256
[8,1,1]                           => 64
[7,3]                             => 441
[7,2,1]                           => 196
[7,1,1,1]                         => 49
[6,4]                             => 576
[6,3,1]                           => 324
[6,2,2]                           => 576
[6,2,1,1]                         => 144
[6,1,1,1,1]                       => 36
[5,5]                             => 625
[5,4,1]                           => 400
[5,3,2]                           => 900
[5,3,1,1]                         => 225
[5,2,2,1]                         => 400
[5,2,1,1,1]                       => 100
[5,1,1,1,1,1]                     => 25
[4,4,2]                           => 1024
[4,4,1,1]                         => 256
[4,3,3]                           => 1296
[4,3,2,1]                         => 576
[4,3,1,1,1]                       => 144
[4,2,2,2]                         => 1024
[4,2,2,1,1]                       => 256
[4,2,1,1,1,1]                     => 64
[4,1,1,1,1,1,1]                   => 16
[3,3,3,1]                         => 729
[3,3,2,2]                         => 1296
[3,3,2,1,1]                       => 324
[3,3,1,1,1,1]                     => 81
[3,2,2,2,1]                       => 576
[3,2,2,1,1,1]                     => 144
[3,2,1,1,1,1,1]                   => 36
[3,1,1,1,1,1,1,1]                 => 9
[2,2,2,2,2]                       => 1024
[2,2,2,2,1,1]                     => 256
[2,2,2,1,1,1,1]                   => 64
[2,2,1,1,1,1,1,1]                 => 16
[2,1,1,1,1,1,1,1,1]               => 4
[1,1,1,1,1,1,1,1,1,1]             => 1
[11]                              => 121
[10,1]                            => 100
[9,2]                             => 324
[9,1,1]                           => 81
[8,3]                             => 576
[8,2,1]                           => 256
[8,1,1,1]                         => 64
[7,4]                             => 784
[7,3,1]                           => 441
[7,2,2]                           => 784
[7,2,1,1]                         => 196
[7,1,1,1,1]                       => 49
[6,5]                             => 900
[6,4,1]                           => 576
[6,3,2]                           => 1296
[6,3,1,1]                         => 324
[6,2,2,1]                         => 576
[6,2,1,1,1]                       => 144
[6,1,1,1,1,1]                     => 36
[5,5,1]                           => 625
[5,4,2]                           => 1600
[5,4,1,1]                         => 400
[5,3,3]                           => 2025
[5,3,2,1]                         => 900
[5,3,1,1,1]                       => 225
[5,2,2,2]                         => 1600
[5,2,2,1,1]                       => 400
[5,2,1,1,1,1]                     => 100
[5,1,1,1,1,1,1]                   => 25
[4,4,3]                           => 2304
[4,4,2,1]                         => 1024
[4,4,1,1,1]                       => 256
[4,3,3,1]                         => 1296
[4,3,2,2]                         => 2304
[4,3,2,1,1]                       => 576
[4,3,1,1,1,1]                     => 144
[4,2,2,2,1]                       => 1024
[4,2,2,1,1,1]                     => 256
[4,2,1,1,1,1,1]                   => 64
[4,1,1,1,1,1,1,1]                 => 16
[3,3,3,2]                         => 2916
[3,3,3,1,1]                       => 729
[3,3,2,2,1]                       => 1296
[3,3,2,1,1,1]                     => 324
[3,3,1,1,1,1,1]                   => 81
[3,2,2,2,2]                       => 2304
[3,2,2,2,1,1]                     => 576
[3,2,2,1,1,1,1]                   => 144
[3,2,1,1,1,1,1,1]                 => 36
[3,1,1,1,1,1,1,1,1]               => 9
[2,2,2,2,2,1]                     => 1024
[2,2,2,2,1,1,1]                   => 256
[2,2,2,1,1,1,1,1]                 => 64
[2,2,1,1,1,1,1,1,1]               => 16
[2,1,1,1,1,1,1,1,1,1]             => 4
[1,1,1,1,1,1,1,1,1,1,1]           => 1
[12]                              => 144
[11,1]                            => 121
[10,2]                            => 400
[10,1,1]                          => 100
[9,3]                             => 729
[9,2,1]                           => 324
[9,1,1,1]                         => 81
[8,4]                             => 1024
[8,3,1]                           => 576
[8,2,2]                           => 1024
[8,2,1,1]                         => 256
[8,1,1,1,1]                       => 64
[7,5]                             => 1225
[7,4,1]                           => 784
[7,3,2]                           => 1764
[7,3,1,1]                         => 441
[7,2,2,1]                         => 784
[7,2,1,1,1]                       => 196
[7,1,1,1,1,1]                     => 49
[6,6]                             => 1296
[6,5,1]                           => 900
[6,4,2]                           => 2304
[6,4,1,1]                         => 576
[6,3,3]                           => 2916
[6,3,2,1]                         => 1296
[6,3,1,1,1]                       => 324
[6,2,2,2]                         => 2304
[6,2,2,1,1]                       => 576
[6,2,1,1,1,1]                     => 144
[6,1,1,1,1,1,1]                   => 36
[5,5,2]                           => 2500
[5,5,1,1]                         => 625
[5,4,3]                           => 3600
[5,4,2,1]                         => 1600
[5,4,1,1,1]                       => 400
[5,3,3,1]                         => 2025
[5,3,2,2]                         => 3600
[5,3,2,1,1]                       => 900
[5,3,1,1,1,1]                     => 225
[5,2,2,2,1]                       => 1600
[5,2,2,1,1,1]                     => 400
[5,2,1,1,1,1,1]                   => 100
[5,1,1,1,1,1,1,1]                 => 25
[4,4,4]                           => 4096
[4,4,3,1]                         => 2304
[4,4,2,2]                         => 4096
[4,4,2,1,1]                       => 1024
[4,4,1,1,1,1]                     => 256
[4,3,3,2]                         => 5184
[4,3,3,1,1]                       => 1296
[4,3,2,2,1]                       => 2304
[4,3,2,1,1,1]                     => 576
[4,3,1,1,1,1,1]                   => 144
[4,2,2,2,2]                       => 4096
[4,2,2,2,1,1]                     => 1024
[4,2,2,1,1,1,1]                   => 256
[4,2,1,1,1,1,1,1]                 => 64
[4,1,1,1,1,1,1,1,1]               => 16
[3,3,3,3]                         => 6561
[3,3,3,2,1]                       => 2916
[3,3,3,1,1,1]                     => 729
[3,3,2,2,2]                       => 5184
[3,3,2,2,1,1]                     => 1296
[3,3,2,1,1,1,1]                   => 324
[3,3,1,1,1,1,1,1]                 => 81
[3,2,2,2,2,1]                     => 2304
[3,2,2,2,1,1,1]                   => 576
[3,2,2,1,1,1,1,1]                 => 144
[3,2,1,1,1,1,1,1,1]               => 36
[3,1,1,1,1,1,1,1,1,1]             => 9
[2,2,2,2,2,2]                     => 4096
[2,2,2,2,2,1,1]                   => 1024
[2,2,2,2,1,1,1,1]                 => 256
[2,2,2,1,1,1,1,1,1]               => 64
[2,2,1,1,1,1,1,1,1,1]             => 16
[2,1,1,1,1,1,1,1,1,1,1]           => 4
[1,1,1,1,1,1,1,1,1,1,1,1]         => 1
[13]                              => 169
[12,1]                            => 144
[10,3]                            => 900
[9,2,2]                           => 1296
[8,5]                             => 1600
[8,4,1]                           => 1024
[8,3,2]                           => 2304
[8,3,1,1]                         => 576
[7,6]                             => 1764
[7,5,1]                           => 1225
[7,4,2]                           => 3136
[7,3,3]                           => 3969
[6,6,1]                           => 1296
[6,5,2]                           => 3600
[6,5,1,1]                         => 900
[6,4,3]                           => 5184
[6,4,2,1]                         => 2304
[6,3,2,2]                         => 5184
[6,3,1,1,1,1]                     => 324
[6,2,2,1,1,1]                     => 576
[6,1,1,1,1,1,1,1]                 => 36
[5,5,3]                           => 5625
[5,4,4]                           => 6400
[5,4,3,1]                         => 3600
[5,4,2,2]                         => 6400
[5,4,2,1,1]                       => 1600
[5,4,1,1,1,1]                     => 400
[5,3,3,2]                         => 8100
[5,3,3,1,1]                       => 2025
[5,3,2,2,1]                       => 3600
[5,3,2,1,1,1]                     => 900
[5,3,1,1,1,1,1]                   => 225
[5,2,2,2,1,1]                     => 1600
[5,2,2,1,1,1,1]                   => 400
[5,2,1,1,1,1,1,1]                 => 100
[4,4,4,1]                         => 4096
[4,4,3,2]                         => 9216
[4,4,3,1,1]                       => 2304
[4,4,2,2,1]                       => 4096
[4,3,3,3]                         => 11664
[4,3,3,2,1]                       => 5184
[3,3,3,3,1]                       => 6561
[3,3,3,2,2]                       => 11664
[3,3,2,2,2,1]                     => 5184
[3,3,2,1,1,1,1,1]                 => 324
[3,2,2,2,2,2]                     => 9216
[3,2,2,2,2,1,1]                   => 2304
[3,1,1,1,1,1,1,1,1,1,1]           => 9
[2,2,2,2,2,2,1]                   => 4096
[2,2,2,2,1,1,1,1,1]               => 256
[1,1,1,1,1,1,1,1,1,1,1,1,1]       => 1
[14]                              => 196
[13,1]                            => 169
[12,2]                            => 576
[12,1,1]                          => 144
[9,5]                             => 2025
[8,6]                             => 2304
[8,5,1]                           => 1600
[8,4,2]                           => 4096
[8,3,1,1,1]                       => 576
[7,7]                             => 2401
[7,5,2]                           => 4900
[7,4,3]                           => 7056
[6,6,2]                           => 5184
[6,6,1,1]                         => 1296
[6,5,3]                           => 8100
[6,5,1,1,1]                       => 900
[6,4,4]                           => 9216
[6,4,2,2]                         => 9216
[6,2,2,2,2]                       => 9216
[6,1,1,1,1,1,1,1,1]               => 36
[5,5,4]                           => 10000
[5,5,1,1,1,1]                     => 625
[5,4,3,2]                         => 14400
[5,4,3,1,1]                       => 3600
[5,4,2,2,1]                       => 6400
[5,4,2,1,1,1]                     => 1600
[5,4,1,1,1,1,1]                   => 400
[5,3,3,3]                         => 18225
[5,3,3,2,1]                       => 8100
[5,3,2,2,2]                       => 14400
[5,3,2,2,1,1]                     => 3600
[5,3,2,1,1,1,1]                   => 900
[5,3,1,1,1,1,1,1]                 => 225
[5,2,2,2,2,1]                     => 6400
[5,2,2,1,1,1,1,1]                 => 400
[4,4,4,2]                         => 16384
[4,4,4,1,1]                       => 4096
[4,4,3,3]                         => 20736
[4,4,3,2,1]                       => 9216
[4,3,2,2,2,1]                     => 9216
[3,3,3,3,2]                       => 26244
[3,3,3,3,1,1]                     => 6561
[3,3,3,2,2,1]                     => 11664
[3,3,2,2,2,2]                     => 20736
[3,3,1,1,1,1,1,1,1,1]             => 81
[3,2,2,2,2,1,1,1]                 => 2304
[2,2,2,2,2,2,2]                   => 16384
[1,1,1,1,1,1,1,1,1,1,1,1,1,1]     => 1
[15]                              => 225
[14,1]                            => 196
[12,3]                            => 1296
[11,2,2]                          => 1936
[9,6]                             => 2916
[9,5,1]                           => 2025
[8,7]                             => 3136
[8,5,2]                           => 6400
[7,5,3]                           => 11025
[6,6,3]                           => 11664
[6,5,4]                           => 14400
[6,5,1,1,1,1]                     => 900
[6,4,3,1,1]                       => 5184
[6,3,3,3]                         => 26244
[6,3,1,1,1,1,1,1]                 => 324
[6,2,2,2,2,1]                     => 9216
[5,5,5]                           => 15625
[5,4,3,3]                         => 32400
[5,4,3,2,1]                       => 14400
[5,4,3,1,1,1]                     => 3600
[5,3,2,2,2,1]                     => 14400
[5,3,2,2,1,1,1]                   => 3600
[5,3,1,1,1,1,1,1,1]               => 225
[4,4,4,3]                         => 36864
[4,4,4,1,1,1]                     => 4096
[4,3,3,3,2]                       => 46656
[3,3,3,3,3]                       => 59049
[3,3,3,3,2,1]                     => 26244
[3,3,3,2,2,2]                     => 46656
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]   => 1
[16]                              => 256
[15,1]                            => 225
[12,4]                            => 2304
[12,1,1,1,1]                      => 144
[10,6]                            => 3600
[8,8]                             => 4096
[8,6,2]                           => 9216
[8,5,3]                           => 14400
[7,6,3]                           => 15876
[7,5,3,1]                         => 11025
[6,6,4]                           => 20736
[6,6,2,2]                         => 20736
[6,5,5]                           => 22500
[6,4,3,3]                         => 46656
[5,5,3,3]                         => 50625
[5,5,2,2,2]                       => 40000
[5,4,4,3]                         => 57600
[5,4,3,2,1,1]                     => 14400
[5,4,2,2,2,1]                     => 25600
[4,4,4,4]                         => 65536
[4,4,4,2,2]                       => 65536
[4,4,3,3,2]                       => 82944
[4,3,3,3,3]                       => 104976
[4,3,3,3,2,1]                     => 46656
[3,3,3,3,2,2]                     => 104976
[3,3,3,3,1,1,1,1]                 => 6561
[3,3,2,2,2,2,2]                   => 82944
[2,2,2,2,2,2,2,2]                 => 65536
[2,2,2,2,2,2,1,1,1,1]             => 4096
[2,2,2,2,1,1,1,1,1,1,1,1]         => 256
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[17]                              => 289
[9,8]                             => 5184
[8,8,1]                           => 4096
[8,6,3]                           => 20736
[7,5,3,2]                         => 44100
[6,5,3,3]                         => 72900
[6,5,2,2,2]                       => 57600
[6,4,4,3]                         => 82944
[6,4,4,1,1,1]                     => 9216
[6,3,3,3,2]                       => 104976
[6,3,3,3,1,1]                     => 26244
[5,5,4,3]                         => 90000
[5,5,4,1,1,1]                     => 10000
[5,5,2,2,2,1]                     => 40000
[5,4,4,4]                         => 102400
[5,4,3,2,2,1]                     => 57600
[5,3,3,3,2,1]                     => 72900
[4,4,4,3,2]                       => 147456
[4,4,4,3,1,1]                     => 36864
[4,4,4,2,2,1]                     => 65536
[4,4,3,3,3]                       => 186624
[3,3,3,3,3,2]                     => 236196
[3,2,2,2,2,2,2,2]                 => 147456
[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1]   => 9
[4,4,4,3,2,1]                     => 147456
[5,4,3,3,2,1]                     => 129600
[6,3,3,3,2,1]                     => 104976
[6,5,2,2,2,1]                     => 57600
[5,5,3,3,1,1]                     => 50625
[6,5,4,1,1,1]                     => 14400
[5,5,3,3,2]                       => 202500
[5,5,4,2,2]                       => 160000
[6,4,4,2,2]                       => 147456
[6,5,4,3]                         => 129600
[4,4,4,3,3]                       => 331776
[4,4,4,4,2]                       => 262144
[5,5,4,4]                         => 160000
[6,4,4,4]                         => 147456
[2,2,2,2,2,2,2,2,2]               => 262144
[3,3,3,3,3,3]                     => 531441
[18]                              => 324
[6,2,2,2,2,2,2]                   => 147456
[6,6,6]                           => 46656
[4,2,2,2,2,2,2,2]                 => 262144
[10,4,4]                          => 25600
[9,6,3]                           => 26244
[8,6,4]                           => 36864
[10,8]                            => 6400
[3,3,3,3,1,1,1,1,1,1]             => 6561
[9,9]                             => 6561
[7,7,1,1,1,1]                     => 2401
[5,4,4,3,2,1]                     => 230400
[5,5,3,3,2,1]                     => 202500
[5,5,4,2,2,1]                     => 160000
[6,4,4,2,2,1]                     => 147456
[5,5,4,3,1,1]                     => 90000
[6,4,4,3,1,1]                     => 82944
[6,5,3,3,1,1]                     => 72900
[5,5,4,3,2]                       => 360000
[6,4,4,3,2]                       => 331776
[6,5,3,3,2]                       => 291600
[6,5,4,2,2]                       => 230400
[6,5,4,3,1]                       => 129600
[6,5,4,1,1,1,1]                   => 14400
[4,4,4,4,3]                       => 589824
[4,3,3,3,3,3]                     => 944784
[19]                              => 361
[7,2,2,2,2,2,2]                   => 200704
[7,6,6]                           => 63504
[5,2,2,2,2,2,2,2]                 => 409600
[13,6]                            => 6084
[11,4,4]                          => 30976
[9,6,4]                           => 46656
[8,5,4,2]                         => 102400
[8,5,5,1]                         => 40000
[5,5,4,3,2,1]                     => 360000
[6,4,4,3,2,1]                     => 331776
[6,5,3,3,2,1]                     => 291600
[6,5,4,2,2,1]                     => 230400
[6,5,4,3,1,1]                     => 129600
[6,5,4,3,2]                       => 518400
[6,5,2,2,2,2,1]                   => 230400
[6,5,4,2,1,1,1]                   => 57600
[6,6,2,2,2,2]                     => 331776
[7,5,4,3,1]                       => 176400
[2,2,2,2,2,2,2,2,2,2]             => 1048576
[3,3,3,3,3,3,2]                   => 2125764
[4,4,3,3,3,3]                     => 1679616
[4,4,4,4,4]                       => 1048576
[5,5,5,5]                         => 390625
[20]                              => 400
[10,10]                           => 10000
[8,2,2,2,2,2,2]                   => 262144
[8,6,4,2]                         => 147456
[8,6,6]                           => 82944
[10,6,4]                          => 57600
[9,8,3]                           => 46656
[6,6,6,2]                         => 186624
[10,7,3]                          => 44100
[9,7,4]                           => 63504
[9,5,5,1]                         => 50625
[6,5,4,3,2,1]                     => 518400
[6,3,3,3,3,2,1]                   => 944784
[6,5,3,2,2,2,1]                   => 518400
[6,5,4,3,1,1,1]                   => 129600
[7,6,2,2,2,2]                     => 451584
[6,6,5,4]                         => 518400
[3,3,3,3,3,3,3]                   => 4782969
[4,4,4,3,3,3]                     => 2985984
[21]                              => 441
[11,7,3]                          => 53361
[5,4,2,2,2,2,2,2]                 => 1638400
[11,10]                           => 12100
[13,4,4]                          => 43264
[7,6,6,2]                         => 254016
[4,4,4,4,3,2,1]                   => 2359296
[6,4,3,3,3,2,1]                   => 1679616
[6,5,4,2,2,2,1]                   => 921600
[6,5,4,3,2,1,1]                   => 518400
[4,4,4,4,3,3]                     => 5308416
[8,6,2,2,2,2]                     => 589824
[22]                              => 484
[9,6,4,3]                         => 419904
[8,7,7]                           => 153664
[5,4,4,4,3,2,1]                   => 3686400
[6,5,3,3,3,2,1]                   => 2624400
[6,5,4,3,2,2,1]                   => 2073600
[15,2,2,2,2]                      => 57600
[9,6,5,3]                         => 656100
[8,6,5,3,1]                       => 518400
[6,4,4,4,3,2,1]                   => 5308416
[6,5,4,3,3,2,1]                   => 4665600
[3,3,3,3,3,3,3,3]                 => 43046721
[4,4,4,4,4,4]                     => 16777216
[6,6,6,6]                         => 1679616
[24]                              => 576
[11,7,5,1]                        => 148225
[9,7,5,3]                         => 893025
[8,8,8]                           => 262144
[17,7]                            => 14161
[12,9,3]                          => 104976
[5,5,5,4,3,2,1]                   => 9000000
[6,5,4,4,3,2,1]                   => 8294400
[7,6,6,6]                         => 2286144
[5,4,4,4,2,2,2,2]                 => 26214400
[13,12]                           => 24336
[15,5,5]                          => 140625
[9,7,5,3,1]                       => 893025
[10,7,5,3]                        => 1102500
[3,3,3,3,3,1,1,1,1,1,1,1,1,1,1]   => 59049
[5,5,5,5,5]                       => 9765625
[12,10,3]                         => 129600
[6,5,5,4,3,2,1]                   => 12960000
[6,6,4,3,3,2,2]                   => 26873856
[8,6,6,6]                         => 2985984
[9,7,5,4,1]                       => 1587600
[16,8,2]                          => 65536
[6,6,5,4,3,2,1]                   => 18662400
[7,6,5,4,3,2]                     => 25401600
[3,3,3,3,3,3,3,3,3]               => 387420489
[15,6,6]                          => 291600
[7,6,5,4,3,2,1]                   => 25401600
[6,6,6,4,3,3]                     => 60466176
[4,3,3,3,3,3,3,3,3]               => 688747536
[7,6,5,4,3,1,1,1]                 => 6350400
[10,7,6,4,1]                      => 2822400
[9,7,6,4,2]                       => 9144576
[10,8,5,4,1]                      => 2560000
[15,14]                           => 44100
[7,6,5,4,3,2,1,1]                 => 25401600
[7,6,5,4,2,2,2,1]                 => 45158400
[10,8,6,4,1]                      => 3686400
[6,6,6,6,6]                       => 60466176
[15,15]                           => 50625
[5,5,5,5,5,5]                     => 244140625
[6,6,6,6,3,3]                     => 136048896
[10,10,10]                        => 1000000
[9,7,5,5,3,1]                     => 22325625
[7,6,5,4,3,2,2,1]                 => 101606400
[7,6,5,3,3,3,2,1]                 => 128595600
[11,8,6,4,1]                      => 4460544
[10,8,6,4,2]                      => 14745600
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]   => 1073741824
[7,6,6,6,6]                       => 82301184
[7,6,5,4,3,3,2,1]                 => 228614400
[7,6,4,4,4,3,2,1]                 => 260112384
[11,8,6,5,1]                      => 6969600
[10,10,9,2]                       => 3240000
[14,9,8]                          => 1016064
[7,6,5,4,4,3,2,1]                 => 406425600
[7,5,5,5,4,3,2,1]                 => 441000000
[16,16]                           => 65536
[10,10,10,2]                      => 4000000
[16,8,4,2,2]                      => 4194304
[7,6,5,5,4,3,2,1]                 => 635040000
[6,6,6,5,4,3,2,1]                 => 671846400
[22,7,4]                          => 379456
[12,12,4,3,2]                     => 11943936
[7,6,6,5,4,3,2,1]                 => 914457600
[12,9,7,5,1]                      => 14288400
[7,7,6,5,4,3,2,1]                 => 1244678400
[13,9,7,5,1]                      => 16769025
[18,18]                           => 104976
[24,12]                           => 82944
[11,9,7,5,3,1]                    => 108056025
[11,8,7,5,4,1]                    => 151782400
[8,7,6,5,4,3,2,1]                 => 1625702400
[8,7,7,7,7]                       => 368947264
[8,7,6,5,4,3,2,1,1]               => 1625702400
[10,10,10,10]                     => 100000000
[12,12,12,4]                      => 47775744
[14,14,8,4]                       => 39337984
[16,10,8,8]                       => 104857600
[26,9,7]                          => 2683044
[18,18,9]                         => 8503056
[48]                              => 2304
[22,9,8,5,5]                      => 1568160000
[27,14,9]                         => 11573604
[17,14,13,8]                      => 612661504
[27,20,8]                         => 18662400
[26,13,7,7,2]                     => 1097199376
[31,12,10,4]                      => 221414400
[24,24,24]                        => 191102976

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Created: Mar 20, 2018 at 16:21 by Martin Rubey

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Last Updated: Dec 29, 2023 at 11:44 by Martin Rubey