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

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Statistic identifier: St000085

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Collection: Ordered trees

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Description: The number of linear extensions of the tree.

We use Knuth's hook length formula for trees [pg.70, 1].  For an ordered tree $T$ on $n$ vertices, the number of linear extensions is 
$$
\frac{n!}{\prod_{v\in T}|T_v|},
$$
where $T_v$ is the number of vertices of the subtree rooted at $v$.


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References: [1]   Knuth, D. E. The art of computer programming. Volume 3 [[MathSciNet:0445948]]

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Code:
def tree_hook_product(tree):
    hook_products = [tree_hook_product(t) for t in tree]
    return prod(hook_products)*tree.node_number()
    
def tree_hook_formula(tree):
    return factorial(tree.node_number())/tree_hook_product(tree)

def statistic(t):
    return tree_hook_formula(t)

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

[[]]                             => 1
[[],[]]                          => 2
[[[]]]                           => 1
[[],[],[]]                       => 6
[[],[[]]]                        => 3
[[[]],[]]                        => 3
[[[],[]]]                        => 2
[[[[]]]]                         => 1
[[],[],[],[]]                    => 24
[[],[],[[]]]                     => 12
[[],[[]],[]]                     => 12
[[],[[],[]]]                     => 8
[[],[[[]]]]                      => 4
[[[]],[],[]]                     => 12
[[[]],[[]]]                      => 6
[[[],[]],[]]                     => 8
[[[[]]],[]]                      => 4
[[[],[],[]]]                     => 6
[[[],[[]]]]                      => 3
[[[[]],[]]]                      => 3
[[[[],[]]]]                      => 2
[[[[[]]]]]                       => 1
[[],[],[],[],[]]                 => 120
[[],[],[],[[]]]                  => 60
[[],[],[[]],[]]                  => 60
[[],[],[[],[]]]                  => 40
[[],[],[[[]]]]                   => 20
[[],[[]],[],[]]                  => 60
[[],[[]],[[]]]                   => 30
[[],[[],[]],[]]                  => 40
[[],[[[]]],[]]                   => 20
[[],[[],[],[]]]                  => 30
[[],[[],[[]]]]                   => 15
[[],[[[]],[]]]                   => 15
[[],[[[],[]]]]                   => 10
[[],[[[[]]]]]                    => 5
[[[]],[],[],[]]                  => 60
[[[]],[],[[]]]                   => 30
[[[]],[[]],[]]                   => 30
[[[]],[[],[]]]                   => 20
[[[]],[[[]]]]                    => 10
[[[],[]],[],[]]                  => 40
[[[[]]],[],[]]                   => 20
[[[],[]],[[]]]                   => 20
[[[[]]],[[]]]                    => 10
[[[],[],[]],[]]                  => 30
[[[],[[]]],[]]                   => 15
[[[[]],[]],[]]                   => 15
[[[[],[]]],[]]                   => 10
[[[[[]]]],[]]                    => 5
[[[],[],[],[]]]                  => 24
[[[],[],[[]]]]                   => 12
[[[],[[]],[]]]                   => 12
[[[],[[],[]]]]                   => 8
[[[],[[[]]]]]                    => 4
[[[[]],[],[]]]                   => 12
[[[[]],[[]]]]                    => 6
[[[[],[]],[]]]                   => 8
[[[[[]]],[]]]                    => 4
[[[[],[],[]]]]                   => 6
[[[[],[[]]]]]                    => 3
[[[[[]],[]]]]                    => 3
[[[[[],[]]]]]                    => 2
[[[[[[]]]]]]                     => 1
[[],[],[],[],[],[]]              => 720
[[],[],[],[],[[]]]               => 360
[[],[],[],[[]],[]]               => 360
[[],[],[],[[],[]]]               => 240
[[],[],[],[[[]]]]                => 120
[[],[],[[]],[],[]]               => 360
[[],[],[[]],[[]]]                => 180
[[],[],[[],[]],[]]               => 240
[[],[],[[[]]],[]]                => 120
[[],[],[[],[],[]]]               => 180
[[],[],[[],[[]]]]                => 90
[[],[],[[[]],[]]]                => 90
[[],[],[[[],[]]]]                => 60
[[],[],[[[[]]]]]                 => 30
[[],[[]],[],[],[]]               => 360
[[],[[]],[],[[]]]                => 180
[[],[[]],[[]],[]]                => 180
[[],[[]],[[],[]]]                => 120
[[],[[]],[[[]]]]                 => 60
[[],[[],[]],[],[]]               => 240
[[],[[[]]],[],[]]                => 120
[[],[[],[]],[[]]]                => 120
[[],[[[]]],[[]]]                 => 60
[[],[[],[],[]],[]]               => 180
[[],[[],[[]]],[]]                => 90
[[],[[[]],[]],[]]                => 90
[[],[[[],[]]],[]]                => 60
[[],[[[[]]]],[]]                 => 30
[[],[[],[],[],[]]]               => 144
[[],[[],[],[[]]]]                => 72
[[],[[],[[]],[]]]                => 72
[[],[[],[[],[]]]]                => 48
[[],[[],[[[]]]]]                 => 24
[[],[[[]],[],[]]]                => 72
[[],[[[]],[[]]]]                 => 36
[[],[[[],[]],[]]]                => 48
[[],[[[[]]],[]]]                 => 24
[[],[[[],[],[]]]]                => 36
[[],[[[],[[]]]]]                 => 18
[[],[[[[]],[]]]]                 => 18
[[],[[[[],[]]]]]                 => 12
[[],[[[[[]]]]]]                  => 6
[[[]],[],[],[],[]]               => 360
[[[]],[],[],[[]]]                => 180
[[[]],[],[[]],[]]                => 180
[[[]],[],[[],[]]]                => 120
[[[]],[],[[[]]]]                 => 60
[[[]],[[]],[],[]]                => 180
[[[]],[[]],[[]]]                 => 90
[[[]],[[],[]],[]]                => 120
[[[]],[[[]]],[]]                 => 60
[[[]],[[],[],[]]]                => 90
[[[]],[[],[[]]]]                 => 45
[[[]],[[[]],[]]]                 => 45
[[[]],[[[],[]]]]                 => 30
[[[]],[[[[]]]]]                  => 15
[[[],[]],[],[],[]]               => 240
[[[[]]],[],[],[]]                => 120
[[[],[]],[],[[]]]                => 120
[[[[]]],[],[[]]]                 => 60
[[[],[]],[[]],[]]                => 120
[[[[]]],[[]],[]]                 => 60
[[[],[]],[[],[]]]                => 80
[[[],[]],[[[]]]]                 => 40
[[[[]]],[[],[]]]                 => 40
[[[[]]],[[[]]]]                  => 20
[[[],[],[]],[],[]]               => 180
[[[],[[]]],[],[]]                => 90
[[[[]],[]],[],[]]                => 90
[[[[],[]]],[],[]]                => 60
[[[[[]]]],[],[]]                 => 30
[[[],[],[]],[[]]]                => 90
[[[],[[]]],[[]]]                 => 45
[[[[]],[]],[[]]]                 => 45
[[[[],[]]],[[]]]                 => 30
[[[[[]]]],[[]]]                  => 15
[[[],[],[],[]],[]]               => 144
[[[],[],[[]]],[]]                => 72
[[[],[[]],[]],[]]                => 72
[[[],[[],[]]],[]]                => 48
[[[],[[[]]]],[]]                 => 24
[[[[]],[],[]],[]]                => 72
[[[[]],[[]]],[]]                 => 36
[[[[],[]],[]],[]]                => 48
[[[[[]]],[]],[]]                 => 24
[[[[],[],[]]],[]]                => 36
[[[[],[[]]]],[]]                 => 18
[[[[[]],[]]],[]]                 => 18
[[[[[],[]]]],[]]                 => 12
[[[[[[]]]]],[]]                  => 6
[[[],[],[],[],[]]]               => 120
[[[],[],[],[[]]]]                => 60
[[[],[],[[]],[]]]                => 60
[[[],[],[[],[]]]]                => 40
[[[],[],[[[]]]]]                 => 20
[[[],[[]],[],[]]]                => 60
[[[],[[]],[[]]]]                 => 30
[[[],[[],[]],[]]]                => 40
[[[],[[[]]],[]]]                 => 20
[[[],[[],[],[]]]]                => 30
[[[],[[],[[]]]]]                 => 15
[[[],[[[]],[]]]]                 => 15
[[[],[[[],[]]]]]                 => 10
[[[],[[[[]]]]]]                  => 5
[[[[]],[],[],[]]]                => 60
[[[[]],[],[[]]]]                 => 30
[[[[]],[[]],[]]]                 => 30
[[[[]],[[],[]]]]                 => 20
[[[[]],[[[]]]]]                  => 10
[[[[],[]],[],[]]]                => 40
[[[[[]]],[],[]]]                 => 20
[[[[],[]],[[]]]]                 => 20
[[[[[]]],[[]]]]                  => 10
[[[[],[],[]],[]]]                => 30
[[[[],[[]]],[]]]                 => 15
[[[[[]],[]],[]]]                 => 15
[[[[[],[]]],[]]]                 => 10
[[[[[[]]]],[]]]                  => 5
[[[[],[],[],[]]]]                => 24
[[[[],[],[[]]]]]                 => 12
[[[[],[[]],[]]]]                 => 12
[[[[],[[],[]]]]]                 => 8
[[[[],[[[]]]]]]                  => 4
[[[[[]],[],[]]]]                 => 12
[[[[[]],[[]]]]]                  => 6
[[[[[],[]],[]]]]                 => 8
[[[[[[]]],[]]]]                  => 4
[[[[[],[],[]]]]]                 => 6
[[[[[],[[]]]]]]                  => 3
[[[[[[]],[]]]]]                  => 3
[[[[[[],[]]]]]]                  => 2
[[[[[[[]]]]]]]                   => 1
[[],[[],[[[[]]]]]]               => 35
[[],[[[[[]]]],[]]]               => 35
[[],[[[],[[],[]]]]]              => 56
[[],[[[],[[[]]]]]]               => 28
[[],[[[[]],[[]]]]]               => 42
[[],[[[[],[]],[]]]]              => 56
[[],[[[[[]]],[]]]]               => 28
[[],[[[[],[],[]]]]]              => 42
[[],[[[[],[[]]]]]]               => 21
[[],[[[[[]],[]]]]]               => 21
[[],[[[[[],[]]]]]]               => 14
[[],[[[[[[]]]]]]]                => 7
[[[]],[[[[[]]]]]]                => 21
[[[[[[]]]]],[[]]]                => 21
[[[],[[[[]]]]],[]]               => 35
[[[[[[]]]],[]],[]]               => 35
[[[[],[[],[]]]],[]]              => 56
[[[[],[[[]]]]],[]]               => 28
[[[[[]],[[]]]],[]]               => 42
[[[[[],[]],[]]],[]]              => 56
[[[[[[]]],[]]],[]]               => 28
[[[[[],[],[]]]],[]]              => 42
[[[[[],[[]]]]],[]]               => 21
[[[[[[]],[]]]],[]]               => 21
[[[[[[],[]]]]],[]]               => 14
[[[[[[[]]]]]],[]]                => 7
[[],[[],[[],[[],[]]]]]           => 384
[[],[[],[[[],[]],[]]]]           => 384
[[],[[[],[]],[[],[]]]]           => 640
[[],[[[],[[],[]]],[]]]           => 384
[[],[[[[],[]],[]],[]]]           => 384
[[],[[[[],[[[]]]]]]]             => 32
[[],[[[[[[]]],[]]]]]             => 32
[[],[[[[[],[],[]]]]]]            => 48
[[],[[[[[],[[]]]]]]]             => 24
[[],[[[[[[]],[]]]]]]             => 24
[[],[[[[[[],[]]]]]]]             => 16
[[],[[[[[[[]]]]]]]]              => 8
[[[],[]],[[],[[],[]]]]           => 896
[[[],[]],[[[],[]],[]]]           => 896
[[[],[[],[]]],[[],[]]]           => 896
[[[[],[]],[]],[[],[]]]           => 896
[[[],[[],[[],[]]]],[]]           => 384
[[[],[[[],[]],[]]],[]]           => 384
[[[[],[]],[[],[]]],[]]           => 640
[[[[],[[],[]]],[]],[]]           => 384
[[[[[],[]],[]],[]],[]]           => 384
[[[[[],[[[]]]]]],[]]             => 32
[[[[[[[]]],[]]]],[]]             => 32
[[[[[[],[],[]]]]],[]]            => 48
[[[[[[],[[]]]]]],[]]             => 24
[[[[[[[]],[]]]]],[]]             => 24
[[[[[[[],[]]]]]],[]]             => 16
[[[[[[[[]]]]]]],[]]              => 8
[[[[[[[[[]]]]]]]],[]]            => 9
[[],[[[[[[[[]]]]]]]]]            => 9
[[[[[[[[],[]]]]]]],[]]           => 18
[[],[[[[[[[],[]]]]]]]]           => 18
[[[[[[[[]],[]]]]]],[]]           => 27
[[[[[[[],[[]]]]]]],[]]           => 27
[[],[[[[[[[]],[]]]]]]]           => 27
[[],[[[[[[],[[]]]]]]]]           => 27
[[],[[],[[],[[],[[],[]]]]]]      => 3840
[[],[[],[[],[[[],[]],[]]]]]      => 3840
[[],[[],[[[],[]],[[],[]]]]]      => 6400
[[],[[],[[[],[[],[]]],[]]]]      => 3840
[[],[[],[[[[],[]],[]],[]]]]      => 3840
[[],[[[],[]],[[],[[],[]]]]]      => 8960
[[],[[[],[]],[[[],[]],[]]]]      => 8960
[[],[[[],[[],[]]],[[],[]]]]      => 8960
[[],[[[[],[]],[]],[[],[]]]]      => 8960
[[],[[[],[[],[[],[]]]],[]]]      => 3840
[[],[[[],[[[],[]],[]]],[]]]      => 3840
[[],[[[[],[]],[[],[]]],[]]]      => 6400
[[],[[[[],[[],[]]],[]],[]]]      => 3840
[[],[[[[[],[]],[]],[]],[]]]      => 3840
[[[],[]],[[],[[],[[],[]]]]]      => 11520
[[[],[]],[[],[[[],[]],[]]]]      => 11520
[[[],[]],[[[],[]],[[],[]]]]      => 19200
[[[],[]],[[[],[[],[]]],[]]]      => 11520
[[[],[]],[[[[],[]],[]],[]]]      => 11520
[[[],[[],[]]],[[],[[],[]]]]      => 16128
[[[],[[],[]]],[[[],[]],[]]]      => 16128
[[[[],[]],[]],[[],[[],[]]]]      => 16128
[[[[],[]],[]],[[[],[]],[]]]      => 16128
[[[],[[],[[],[]]]],[[],[]]]      => 11520
[[[],[[[],[]],[]]],[[],[]]]      => 11520
[[[[],[]],[[],[]]],[[],[]]]      => 19200
[[[[],[[],[]]],[]],[[],[]]]      => 11520
[[[[[],[]],[]],[]],[[],[]]]      => 11520
[[[],[[],[[],[[],[]]]]],[]]      => 3840
[[[],[[],[[[],[]],[]]]],[]]      => 3840
[[[],[[[],[]],[[],[]]]],[]]      => 6400
[[[],[[[],[[],[]]],[]]],[]]      => 3840
[[[],[[[[],[]],[]],[]]],[]]      => 3840
[[[[],[]],[[],[[],[]]]],[]]      => 8960
[[[[],[]],[[[],[]],[]]],[]]      => 8960
[[[[],[[],[]]],[[],[]]],[]]      => 8960
[[[[[],[]],[]],[[],[]]],[]]      => 8960
[[[[],[[],[[],[]]]],[]],[]]      => 3840
[[[[],[[[],[]],[]]],[]],[]]      => 3840
[[[[[],[]],[[],[]]],[]],[]]      => 6400
[[[[[],[[],[]]],[]],[]],[]]      => 3840
[[[[[[],[]],[]],[]],[]],[]]      => 3840
[[[[[[[[[[]]]]]]]]],[]]          => 10
[[],[[[[[[[[[]]]]]]]]]]          => 10
[[[[[[[[[],[]]]]]]]],[]]         => 20
[[],[[[[[[[[],[]]]]]]]]]         => 20
[[[[[[[[[[[]]]]]]]]]],[]]        => 11
[[],[[[[[[[[[[]]]]]]]]]]]        => 11
[[],[[],[[],[[],[[],[[],[]]]]]]] => 46080
[[],[[],[[],[[],[[[],[]],[]]]]]] => 46080
[[],[[],[[],[[[],[]],[[],[]]]]]] => 76800
[[],[[],[[],[[[],[[],[]]],[]]]]] => 46080
[[],[[],[[],[[[[],[]],[]],[]]]]] => 46080
[[],[[],[[[],[]],[[],[[],[]]]]]] => 107520
[[],[[],[[[],[]],[[[],[]],[]]]]] => 107520
[[],[[],[[[],[[],[]]],[[],[]]]]] => 107520
[[],[[],[[[[],[]],[]],[[],[]]]]] => 107520
[[],[[],[[[],[[],[[],[]]]],[]]]] => 46080
[[],[[],[[[],[[[],[]],[]]],[]]]] => 46080
[[],[[],[[[[],[]],[[],[]]],[]]]] => 76800
[[],[[],[[[[],[[],[]]],[]],[]]]] => 46080
[[],[[],[[[[[],[]],[]],[]],[]]]] => 46080
[[],[[[],[]],[[],[[],[[],[]]]]]] => 138240
[[],[[[],[]],[[],[[[],[]],[]]]]] => 138240
[[],[[[],[]],[[[],[]],[[],[]]]]] => 230400
[[],[[[],[]],[[[],[[],[]]],[]]]] => 138240
[[],[[[],[]],[[[[],[]],[]],[]]]] => 138240
[[],[[[],[[],[]]],[[],[[],[]]]]] => 193536
[[],[[[],[[],[]]],[[[],[]],[]]]] => 193536
[[],[[[[],[]],[]],[[],[[],[]]]]] => 193536
[[],[[[[],[]],[]],[[[],[]],[]]]] => 193536
[[],[[[],[[],[[],[]]]],[[],[]]]] => 138240
[[],[[[],[[[],[]],[]]],[[],[]]]] => 138240
[[],[[[[],[]],[[],[]]],[[],[]]]] => 230400
[[],[[[[],[[],[]]],[]],[[],[]]]] => 138240
[[],[[[[[],[]],[]],[]],[[],[]]]] => 138240
[[],[[[],[[],[[],[[],[]]]]],[]]] => 46080
[[],[[[],[[],[[[],[]],[]]]],[]]] => 46080
[[],[[[],[[[],[]],[[],[]]]],[]]] => 76800
[[],[[[],[[[],[[],[]]],[]]],[]]] => 46080
[[],[[[],[[[[],[]],[]],[]]],[]]] => 46080
[[],[[[[],[]],[[],[[],[]]]],[]]] => 107520
[[],[[[[],[]],[[[],[]],[]]],[]]] => 107520
[[],[[[[],[[],[]]],[[],[]]],[]]] => 107520
[[],[[[[[],[]],[]],[[],[]]],[]]] => 107520
[[],[[[[],[[],[[],[]]]],[]],[]]] => 46080
[[],[[[[],[[[],[]],[]]],[]],[]]] => 46080
[[],[[[[[],[]],[[],[]]],[]],[]]] => 76800
[[],[[[[[],[[],[]]],[]],[]],[]]] => 46080
[[],[[[[[[],[]],[]],[]],[]],[]]] => 46080
[[[],[]],[[],[[],[[],[[],[]]]]]] => 168960
[[[],[]],[[],[[],[[[],[]],[]]]]] => 168960
[[[],[]],[[],[[[],[]],[[],[]]]]] => 281600
[[[],[]],[[],[[[],[[],[]]],[]]]] => 168960
[[[],[]],[[],[[[[],[]],[]],[]]]] => 168960
[[[],[]],[[[],[]],[[],[[],[]]]]] => 394240
[[[],[]],[[[],[]],[[[],[]],[]]]] => 394240
[[[],[]],[[[],[[],[]]],[[],[]]]] => 394240
[[[],[]],[[[[],[]],[]],[[],[]]]] => 394240
[[[],[]],[[[],[[],[[],[]]]],[]]] => 168960
[[[],[]],[[[],[[[],[]],[]]],[]]] => 168960
[[[],[]],[[[[],[]],[[],[]]],[]]] => 281600
[[[],[]],[[[[],[[],[]]],[]],[]]] => 168960
[[[],[]],[[[[[],[]],[]],[]],[]]] => 168960
[[[],[[],[]]],[[],[[],[[],[]]]]] => 304128
[[[],[[],[]]],[[],[[[],[]],[]]]] => 304128
[[[],[[],[]]],[[[],[]],[[],[]]]] => 506880
[[[],[[],[]]],[[[],[[],[]]],[]]] => 304128
[[[],[[],[]]],[[[[],[]],[]],[]]] => 304128
[[[[],[]],[]],[[],[[],[[],[]]]]] => 304128
[[[[],[]],[]],[[],[[[],[]],[]]]] => 304128
[[[[],[]],[]],[[[],[]],[[],[]]]] => 506880
[[[[],[]],[]],[[[],[[],[]]],[]]] => 304128
[[[[],[]],[]],[[[[],[]],[]],[]]] => 304128
[[[],[[],[[],[]]]],[[],[[],[]]]] => 304128
[[[],[[],[[],[]]]],[[[],[]],[]]] => 304128
[[[],[[[],[]],[]]],[[],[[],[]]]] => 304128
[[[],[[[],[]],[]]],[[[],[]],[]]] => 304128
[[[[],[]],[[],[]]],[[],[[],[]]]] => 506880
[[[[],[]],[[],[]]],[[[],[]],[]]] => 506880
[[[[],[[],[]]],[]],[[],[[],[]]]] => 304128
[[[[],[[],[]]],[]],[[[],[]],[]]] => 304128
[[[[[],[]],[]],[]],[[],[[],[]]]] => 304128
[[[[[],[]],[]],[]],[[[],[]],[]]] => 304128
[[[],[[],[[],[[],[]]]]],[[],[]]] => 168960
[[[],[[],[[[],[]],[]]]],[[],[]]] => 168960
[[[],[[[],[]],[[],[]]]],[[],[]]] => 281600
[[[],[[[],[[],[]]],[]]],[[],[]]] => 168960
[[[],[[[[],[]],[]],[]]],[[],[]]] => 168960
[[[[],[]],[[],[[],[]]]],[[],[]]] => 394240
[[[[],[]],[[[],[]],[]]],[[],[]]] => 394240
[[[[],[[],[]]],[[],[]]],[[],[]]] => 394240
[[[[[],[]],[]],[[],[]]],[[],[]]] => 394240
[[[[],[[],[[],[]]]],[]],[[],[]]] => 168960
[[[[],[[[],[]],[]]],[]],[[],[]]] => 168960
[[[[[],[]],[[],[]]],[]],[[],[]]] => 281600
[[[[[],[[],[]]],[]],[]],[[],[]]] => 168960
[[[[[[],[]],[]],[]],[]],[[],[]]] => 168960
[[[],[[],[[],[[],[[],[]]]]]],[]] => 46080
[[[],[[],[[],[[[],[]],[]]]]],[]] => 46080
[[[],[[],[[[],[]],[[],[]]]]],[]] => 76800
[[[],[[],[[[],[[],[]]],[]]]],[]] => 46080
[[[],[[],[[[[],[]],[]],[]]]],[]] => 46080
[[[],[[[],[]],[[],[[],[]]]]],[]] => 107520
[[[],[[[],[]],[[[],[]],[]]]],[]] => 107520
[[[],[[[],[[],[]]],[[],[]]]],[]] => 107520
[[[],[[[[],[]],[]],[[],[]]]],[]] => 107520
[[[],[[[],[[],[[],[]]]],[]]],[]] => 46080
[[[],[[[],[[[],[]],[]]],[]]],[]] => 46080
[[[],[[[[],[]],[[],[]]],[]]],[]] => 76800
[[[],[[[[],[[],[]]],[]],[]]],[]] => 46080
[[[],[[[[[],[]],[]],[]],[]]],[]] => 46080
[[[[],[]],[[],[[],[[],[]]]]],[]] => 138240
[[[[],[]],[[],[[[],[]],[]]]],[]] => 138240
[[[[],[]],[[[],[]],[[],[]]]],[]] => 230400
[[[[],[]],[[[],[[],[]]],[]]],[]] => 138240
[[[[],[]],[[[[],[]],[]],[]]],[]] => 138240
[[[[],[[],[]]],[[],[[],[]]]],[]] => 193536
[[[[],[[],[]]],[[[],[]],[]]],[]] => 193536
[[[[[],[]],[]],[[],[[],[]]]],[]] => 193536
[[[[[],[]],[]],[[[],[]],[]]],[]] => 193536
[[[[],[[],[[],[]]]],[[],[]]],[]] => 138240
[[[[],[[[],[]],[]]],[[],[]]],[]] => 138240
[[[[[],[]],[[],[]]],[[],[]]],[]] => 230400
[[[[[],[[],[]]],[]],[[],[]]],[]] => 138240
[[[[[[],[]],[]],[]],[[],[]]],[]] => 138240
[[[[],[[],[[],[[],[]]]]],[]],[]] => 46080
[[[[],[[],[[[],[]],[]]]],[]],[]] => 46080
[[[[],[[[],[]],[[],[]]]],[]],[]] => 76800
[[[[],[[[],[[],[]]],[]]],[]],[]] => 46080
[[[[],[[[[],[]],[]],[]]],[]],[]] => 46080
[[[[[],[]],[[],[[],[]]]],[]],[]] => 107520
[[[[[],[]],[[[],[]],[]]],[]],[]] => 107520
[[[[[],[[],[]]],[[],[]]],[]],[]] => 107520
[[[[[[],[]],[]],[[],[]]],[]],[]] => 107520
[[[[[],[[],[[],[]]]],[]],[]],[]] => 46080
[[[[[],[[[],[]],[]]],[]],[]],[]] => 46080
[[[[[[],[]],[[],[]]],[]],[]],[]] => 76800
[[[[[[],[[],[]]],[]],[]],[]],[]] => 46080
[[[[[[[],[]],[]],[]],[]],[]],[]] => 46080

-----------------------------------------------------------------------------
Created: Jun 13, 2013 at 10:24 by Viviane Pons

-----------------------------------------------------------------------------
Last Updated: Mar 20, 2019 at 00:53 by Martin Rubey