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*       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: St000084

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Collection: Ordered trees

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Description: The number of subtrees.

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References: 

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Code:
def statistic(t):
    return len(t)

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Statistic values:

[[]]                => 1
[[],[]]             => 2
[[[]]]              => 1
[[],[],[]]          => 3
[[],[[]]]           => 2
[[[]],[]]           => 2
[[[],[]]]           => 1
[[[[]]]]            => 1
[[],[],[],[]]       => 4
[[],[],[[]]]        => 3
[[],[[]],[]]        => 3
[[],[[],[]]]        => 2
[[],[[[]]]]         => 2
[[[]],[],[]]        => 3
[[[]],[[]]]         => 2
[[[],[]],[]]        => 2
[[[[]]],[]]         => 2
[[[],[],[]]]        => 1
[[[],[[]]]]         => 1
[[[[]],[]]]         => 1
[[[[],[]]]]         => 1
[[[[[]]]]]          => 1
[[],[],[],[],[]]    => 5
[[],[],[],[[]]]     => 4
[[],[],[[]],[]]     => 4
[[],[],[[],[]]]     => 3
[[],[],[[[]]]]      => 3
[[],[[]],[],[]]     => 4
[[],[[]],[[]]]      => 3
[[],[[],[]],[]]     => 3
[[],[[[]]],[]]      => 3
[[],[[],[],[]]]     => 2
[[],[[],[[]]]]      => 2
[[],[[[]],[]]]      => 2
[[],[[[],[]]]]      => 2
[[],[[[[]]]]]       => 2
[[[]],[],[],[]]     => 4
[[[]],[],[[]]]      => 3
[[[]],[[]],[]]      => 3
[[[]],[[],[]]]      => 2
[[[]],[[[]]]]       => 2
[[[],[]],[],[]]     => 3
[[[[]]],[],[]]      => 3
[[[],[]],[[]]]      => 2
[[[[]]],[[]]]       => 2
[[[],[],[]],[]]     => 2
[[[],[[]]],[]]      => 2
[[[[]],[]],[]]      => 2
[[[[],[]]],[]]      => 2
[[[[[]]]],[]]       => 2
[[[],[],[],[]]]     => 1
[[[],[],[[]]]]      => 1
[[[],[[]],[]]]      => 1
[[[],[[],[]]]]      => 1
[[[],[[[]]]]]       => 1
[[[[]],[],[]]]      => 1
[[[[]],[[]]]]       => 1
[[[[],[]],[]]]      => 1
[[[[[]]],[]]]       => 1
[[[[],[],[]]]]      => 1
[[[[],[[]]]]]       => 1
[[[[[]],[]]]]       => 1
[[[[[],[]]]]]       => 1
[[[[[[]]]]]]        => 1
[[],[],[],[],[],[]] => 6
[[],[],[],[],[[]]]  => 5
[[],[],[],[[]],[]]  => 5
[[],[],[],[[],[]]]  => 4
[[],[],[],[[[]]]]   => 4
[[],[],[[]],[],[]]  => 5
[[],[],[[]],[[]]]   => 4
[[],[],[[],[]],[]]  => 4
[[],[],[[[]]],[]]   => 4
[[],[],[[],[],[]]]  => 3
[[],[],[[],[[]]]]   => 3
[[],[],[[[]],[]]]   => 3
[[],[],[[[],[]]]]   => 3
[[],[],[[[[]]]]]    => 3
[[],[[]],[],[],[]]  => 5
[[],[[]],[],[[]]]   => 4
[[],[[]],[[]],[]]   => 4
[[],[[]],[[],[]]]   => 3
[[],[[]],[[[]]]]    => 3
[[],[[],[]],[],[]]  => 4
[[],[[[]]],[],[]]   => 4
[[],[[],[]],[[]]]   => 3
[[],[[[]]],[[]]]    => 3
[[],[[],[],[]],[]]  => 3
[[],[[],[[]]],[]]   => 3
[[],[[[]],[]],[]]   => 3
[[],[[[],[]]],[]]   => 3
[[],[[[[]]]],[]]    => 3
[[],[[],[],[],[]]]  => 2
[[],[[],[],[[]]]]   => 2
[[],[[],[[]],[]]]   => 2
[[],[[],[[],[]]]]   => 2
[[],[[],[[[]]]]]    => 2
[[],[[[]],[],[]]]   => 2
[[],[[[]],[[]]]]    => 2
[[],[[[],[]],[]]]   => 2
[[],[[[[]]],[]]]    => 2
[[],[[[],[],[]]]]   => 2
[[],[[[],[[]]]]]    => 2
[[],[[[[]],[]]]]    => 2
[[],[[[[],[]]]]]    => 2
[[],[[[[[]]]]]]     => 2
[[[]],[],[],[],[]]  => 5
[[[]],[],[],[[]]]   => 4
[[[]],[],[[]],[]]   => 4
[[[]],[],[[],[]]]   => 3
[[[]],[],[[[]]]]    => 3
[[[]],[[]],[],[]]   => 4
[[[]],[[]],[[]]]    => 3
[[[]],[[],[]],[]]   => 3
[[[]],[[[]]],[]]    => 3
[[[]],[[],[],[]]]   => 2
[[[]],[[],[[]]]]    => 2
[[[]],[[[]],[]]]    => 2
[[[]],[[[],[]]]]    => 2
[[[]],[[[[]]]]]     => 2
[[[],[]],[],[],[]]  => 4
[[[[]]],[],[],[]]   => 4
[[[],[]],[],[[]]]   => 3
[[[[]]],[],[[]]]    => 3
[[[],[]],[[]],[]]   => 3
[[[[]]],[[]],[]]    => 3
[[[],[]],[[],[]]]   => 2
[[[],[]],[[[]]]]    => 2
[[[[]]],[[],[]]]    => 2
[[[[]]],[[[]]]]     => 2
[[[],[],[]],[],[]]  => 3
[[[],[[]]],[],[]]   => 3
[[[[]],[]],[],[]]   => 3
[[[[],[]]],[],[]]   => 3
[[[[[]]]],[],[]]    => 3
[[[],[],[]],[[]]]   => 2
[[[],[[]]],[[]]]    => 2
[[[[]],[]],[[]]]    => 2
[[[[],[]]],[[]]]    => 2
[[[[[]]]],[[]]]     => 2
[[[],[],[],[]],[]]  => 2
[[[],[],[[]]],[]]   => 2
[[[],[[]],[]],[]]   => 2
[[[],[[],[]]],[]]   => 2
[[[],[[[]]]],[]]    => 2
[[[[]],[],[]],[]]   => 2
[[[[]],[[]]],[]]    => 2
[[[[],[]],[]],[]]   => 2
[[[[[]]],[]],[]]    => 2
[[[[],[],[]]],[]]   => 2
[[[[],[[]]]],[]]    => 2
[[[[[]],[]]],[]]    => 2
[[[[[],[]]]],[]]    => 2
[[[[[[]]]]],[]]     => 2
[[[],[],[],[],[]]]  => 1
[[[],[],[],[[]]]]   => 1
[[[],[],[[]],[]]]   => 1
[[[],[],[[],[]]]]   => 1
[[[],[],[[[]]]]]    => 1
[[[],[[]],[],[]]]   => 1
[[[],[[]],[[]]]]    => 1
[[[],[[],[]],[]]]   => 1
[[[],[[[]]],[]]]    => 1
[[[],[[],[],[]]]]   => 1
[[[],[[],[[]]]]]    => 1
[[[],[[[]],[]]]]    => 1
[[[],[[[],[]]]]]    => 1
[[[],[[[[]]]]]]     => 1
[[[[]],[],[],[]]]   => 1
[[[[]],[],[[]]]]    => 1
[[[[]],[[]],[]]]    => 1
[[[[]],[[],[]]]]    => 1
[[[[]],[[[]]]]]     => 1
[[[[],[]],[],[]]]   => 1
[[[[[]]],[],[]]]    => 1
[[[[],[]],[[]]]]    => 1
[[[[[]]],[[]]]]     => 1
[[[[],[],[]],[]]]   => 1
[[[[],[[]]],[]]]    => 1
[[[[[]],[]],[]]]    => 1
[[[[[],[]]],[]]]    => 1
[[[[[[]]]],[]]]     => 1
[[[[],[],[],[]]]]   => 1
[[[[],[],[[]]]]]    => 1
[[[[],[[]],[]]]]    => 1
[[[[],[[],[]]]]]    => 1
[[[[],[[[]]]]]]     => 1
[[[[[]],[],[]]]]    => 1
[[[[[]],[[]]]]]     => 1
[[[[[],[]],[]]]]    => 1
[[[[[[]]],[]]]]     => 1
[[[[[],[],[]]]]]    => 1
[[[[[],[[]]]]]]     => 1
[[[[[[]],[]]]]]     => 1
[[[[[[],[]]]]]]     => 1
[[[[[[[]]]]]]]      => 1

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Created: Jun 13, 2013 at 10:05 by Viviane Pons

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Last Updated: Feb 17, 2015 at 21:19 by Martin Rubey