*****************************************************************************
*       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.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St000094

-----------------------------------------------------------------------------
Collection: Ordered trees

-----------------------------------------------------------------------------
Description: The depth of an ordered tree.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(t):
    return t.depth()

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

[[]]                => 2
[[],[]]             => 2
[[[]]]              => 3
[[],[],[]]          => 2
[[],[[]]]           => 3
[[[]],[]]           => 3
[[[],[]]]           => 3
[[[[]]]]            => 4
[[],[],[],[]]       => 2
[[],[],[[]]]        => 3
[[],[[]],[]]        => 3
[[],[[],[]]]        => 3
[[],[[[]]]]         => 4
[[[]],[],[]]        => 3
[[[]],[[]]]         => 3
[[[],[]],[]]        => 3
[[[[]]],[]]         => 4
[[[],[],[]]]        => 3
[[[],[[]]]]         => 4
[[[[]],[]]]         => 4
[[[[],[]]]]         => 4
[[[[[]]]]]          => 5
[[],[],[],[],[]]    => 2
[[],[],[],[[]]]     => 3
[[],[],[[]],[]]     => 3
[[],[],[[],[]]]     => 3
[[],[],[[[]]]]      => 4
[[],[[]],[],[]]     => 3
[[],[[]],[[]]]      => 3
[[],[[],[]],[]]     => 3
[[],[[[]]],[]]      => 4
[[],[[],[],[]]]     => 3
[[],[[],[[]]]]      => 4
[[],[[[]],[]]]      => 4
[[],[[[],[]]]]      => 4
[[],[[[[]]]]]       => 5
[[[]],[],[],[]]     => 3
[[[]],[],[[]]]      => 3
[[[]],[[]],[]]      => 3
[[[]],[[],[]]]      => 3
[[[]],[[[]]]]       => 4
[[[],[]],[],[]]     => 3
[[[[]]],[],[]]      => 4
[[[],[]],[[]]]      => 3
[[[[]]],[[]]]       => 4
[[[],[],[]],[]]     => 3
[[[],[[]]],[]]      => 4
[[[[]],[]],[]]      => 4
[[[[],[]]],[]]      => 4
[[[[[]]]],[]]       => 5
[[[],[],[],[]]]     => 3
[[[],[],[[]]]]      => 4
[[[],[[]],[]]]      => 4
[[[],[[],[]]]]      => 4
[[[],[[[]]]]]       => 5
[[[[]],[],[]]]      => 4
[[[[]],[[]]]]       => 4
[[[[],[]],[]]]      => 4
[[[[[]]],[]]]       => 5
[[[[],[],[]]]]      => 4
[[[[],[[]]]]]       => 5
[[[[[]],[]]]]       => 5
[[[[[],[]]]]]       => 5
[[[[[[]]]]]]        => 6
[[],[],[],[],[],[]] => 2
[[],[],[],[],[[]]]  => 3
[[],[],[],[[]],[]]  => 3
[[],[],[],[[],[]]]  => 3
[[],[],[],[[[]]]]   => 4
[[],[],[[]],[],[]]  => 3
[[],[],[[]],[[]]]   => 3
[[],[],[[],[]],[]]  => 3
[[],[],[[[]]],[]]   => 4
[[],[],[[],[],[]]]  => 3
[[],[],[[],[[]]]]   => 4
[[],[],[[[]],[]]]   => 4
[[],[],[[[],[]]]]   => 4
[[],[],[[[[]]]]]    => 5
[[],[[]],[],[],[]]  => 3
[[],[[]],[],[[]]]   => 3
[[],[[]],[[]],[]]   => 3
[[],[[]],[[],[]]]   => 3
[[],[[]],[[[]]]]    => 4
[[],[[],[]],[],[]]  => 3
[[],[[[]]],[],[]]   => 4
[[],[[],[]],[[]]]   => 3
[[],[[[]]],[[]]]    => 4
[[],[[],[],[]],[]]  => 3
[[],[[],[[]]],[]]   => 4
[[],[[[]],[]],[]]   => 4
[[],[[[],[]]],[]]   => 4
[[],[[[[]]]],[]]    => 5
[[],[[],[],[],[]]]  => 3
[[],[[],[],[[]]]]   => 4
[[],[[],[[]],[]]]   => 4
[[],[[],[[],[]]]]   => 4
[[],[[],[[[]]]]]    => 5
[[],[[[]],[],[]]]   => 4
[[],[[[]],[[]]]]    => 4
[[],[[[],[]],[]]]   => 4
[[],[[[[]]],[]]]    => 5
[[],[[[],[],[]]]]   => 4
[[],[[[],[[]]]]]    => 5
[[],[[[[]],[]]]]    => 5
[[],[[[[],[]]]]]    => 5
[[],[[[[[]]]]]]     => 6
[[[]],[],[],[],[]]  => 3
[[[]],[],[],[[]]]   => 3
[[[]],[],[[]],[]]   => 3
[[[]],[],[[],[]]]   => 3
[[[]],[],[[[]]]]    => 4
[[[]],[[]],[],[]]   => 3
[[[]],[[]],[[]]]    => 3
[[[]],[[],[]],[]]   => 3
[[[]],[[[]]],[]]    => 4
[[[]],[[],[],[]]]   => 3
[[[]],[[],[[]]]]    => 4
[[[]],[[[]],[]]]    => 4
[[[]],[[[],[]]]]    => 4
[[[]],[[[[]]]]]     => 5
[[[],[]],[],[],[]]  => 3
[[[[]]],[],[],[]]   => 4
[[[],[]],[],[[]]]   => 3
[[[[]]],[],[[]]]    => 4
[[[],[]],[[]],[]]   => 3
[[[[]]],[[]],[]]    => 4
[[[],[]],[[],[]]]   => 3
[[[],[]],[[[]]]]    => 4
[[[[]]],[[],[]]]    => 4
[[[[]]],[[[]]]]     => 4
[[[],[],[]],[],[]]  => 3
[[[],[[]]],[],[]]   => 4
[[[[]],[]],[],[]]   => 4
[[[[],[]]],[],[]]   => 4
[[[[[]]]],[],[]]    => 5
[[[],[],[]],[[]]]   => 3
[[[],[[]]],[[]]]    => 4
[[[[]],[]],[[]]]    => 4
[[[[],[]]],[[]]]    => 4
[[[[[]]]],[[]]]     => 5
[[[],[],[],[]],[]]  => 3
[[[],[],[[]]],[]]   => 4
[[[],[[]],[]],[]]   => 4
[[[],[[],[]]],[]]   => 4
[[[],[[[]]]],[]]    => 5
[[[[]],[],[]],[]]   => 4
[[[[]],[[]]],[]]    => 4
[[[[],[]],[]],[]]   => 4
[[[[[]]],[]],[]]    => 5
[[[[],[],[]]],[]]   => 4
[[[[],[[]]]],[]]    => 5
[[[[[]],[]]],[]]    => 5
[[[[[],[]]]],[]]    => 5
[[[[[[]]]]],[]]     => 6
[[[],[],[],[],[]]]  => 3
[[[],[],[],[[]]]]   => 4
[[[],[],[[]],[]]]   => 4
[[[],[],[[],[]]]]   => 4
[[[],[],[[[]]]]]    => 5
[[[],[[]],[],[]]]   => 4
[[[],[[]],[[]]]]    => 4
[[[],[[],[]],[]]]   => 4
[[[],[[[]]],[]]]    => 5
[[[],[[],[],[]]]]   => 4
[[[],[[],[[]]]]]    => 5
[[[],[[[]],[]]]]    => 5
[[[],[[[],[]]]]]    => 5
[[[],[[[[]]]]]]     => 6
[[[[]],[],[],[]]]   => 4
[[[[]],[],[[]]]]    => 4
[[[[]],[[]],[]]]    => 4
[[[[]],[[],[]]]]    => 4
[[[[]],[[[]]]]]     => 5
[[[[],[]],[],[]]]   => 4
[[[[[]]],[],[]]]    => 5
[[[[],[]],[[]]]]    => 4
[[[[[]]],[[]]]]     => 5
[[[[],[],[]],[]]]   => 4
[[[[],[[]]],[]]]    => 5
[[[[[]],[]],[]]]    => 5
[[[[[],[]]],[]]]    => 5
[[[[[[]]]],[]]]     => 6
[[[[],[],[],[]]]]   => 4
[[[[],[],[[]]]]]    => 5
[[[[],[[]],[]]]]    => 5
[[[[],[[],[]]]]]    => 5
[[[[],[[[]]]]]]     => 6
[[[[[]],[],[]]]]    => 5
[[[[[]],[[]]]]]     => 5
[[[[[],[]],[]]]]    => 5
[[[[[[]]],[]]]]     => 6
[[[[[],[],[]]]]]    => 5
[[[[[],[[]]]]]]     => 6
[[[[[[]],[]]]]]     => 6
[[[[[[],[]]]]]]     => 6
[[[[[[[]]]]]]]      => 7

-----------------------------------------------------------------------------
Created: Jun 13, 2013 at 16:39 by Chris Berg

-----------------------------------------------------------------------------
Last Updated: Feb 17, 2015 at 21:18 by Martin Rubey