- FindStat

Identifier

Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
St000397: Ordered trees ⟶ ℤ

Values

[[]] => [.,.] => [[],[]] => 2

[[],[]] => [[.,.],.] => [[[],[]],[]] => 2

[[[]]] => [.,[.,.]] => [[],[[],[]]] => 2

[[],[],[]] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 2

[[],[[]]] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 3

[[[]],[]] => [[.,[.,.]],.] => [[[],[[],[]]],[]] => 2

[[[],[]]] => [.,[[.,.],.]] => [[],[[[],[]],[]]] => 2

[[[[]]]] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 2

[[],[],[],[]] => [[[[.,.],.],.],.] => [[[[[],[]],[]],[]],[]] => 2

[[],[],[[]]] => [[[.,.],.],[.,.]] => [[[[],[]],[]],[[],[]]] => 3

[[],[[]],[]] => [[[.,.],[.,.]],.] => [[[[],[]],[[],[]]],[]] => 3

[[],[[],[]]] => [[.,.],[[.,.],.]] => [[[],[]],[[[],[]],[]]] => 3

[[],[[[]]]] => [[.,.],[.,[.,.]]] => [[[],[]],[[],[[],[]]]] => 3

[[[]],[],[]] => [[[.,[.,.]],.],.] => [[[[],[[],[]]],[]],[]] => 2

[[[]],[[]]] => [[.,[.,.]],[.,.]] => [[[],[[],[]]],[[],[]]] => 3

[[[],[]],[]] => [[.,[[.,.],.]],.] => [[[],[[[],[]],[]]],[]] => 2

[[[[]]],[]] => [[.,[.,[.,.]]],.] => [[[],[[],[[],[]]]],[]] => 2

[[[],[],[]]] => [.,[[[.,.],.],.]] => [[],[[[[],[]],[]],[]]] => 2

[[[],[[]]]] => [.,[[.,.],[.,.]]] => [[],[[[],[]],[[],[]]]] => 3

[[[[]],[]]] => [.,[[.,[.,.]],.]] => [[],[[[],[[],[]]],[]]] => 2

[[[[],[]]]] => [.,[.,[[.,.],.]]] => [[],[[],[[[],[]],[]]]] => 2

[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [[],[[],[[],[[],[]]]]] => 2

[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [[[[[[],[]],[]],[]],[]],[]] => 2

[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [[[[[],[]],[]],[]],[[],[]]] => 3

[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [[[[[],[]],[]],[[],[]]],[]] => 3

[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [[[[],[]],[]],[[[],[]],[]]] => 3

[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [[[[],[]],[]],[[],[[],[]]]] => 3

[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [[[[[],[]],[[],[]]],[]],[]] => 3

[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [[[[],[]],[[],[]]],[[],[]]] => 3

[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [[[[],[]],[[[],[]],[]]],[]] => 3

[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [[[[],[]],[[],[[],[]]]],[]] => 3

[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [[[],[]],[[[[],[]],[]],[]]] => 3

[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [[[],[]],[[[],[]],[[],[]]]] => 3

[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [[[],[]],[[[],[[],[]]],[]]] => 3

[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [[[],[]],[[],[[[],[]],[]]]] => 3

[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [[[],[]],[[],[[],[[],[]]]]] => 3

[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [[[[[],[[],[]]],[]],[]],[]] => 2

[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [[[[],[[],[]]],[]],[[],[]]] => 3

[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [[[[],[[],[]]],[[],[]]],[]] => 3

[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [[[],[[],[]]],[[[],[]],[]]] => 3

[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [[[],[[],[]]],[[],[[],[]]]] => 3

[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [[[[],[[[],[]],[]]],[]],[]] => 2

[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [[[[],[[],[[],[]]]],[]],[]] => 2

[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [[[],[[[],[]],[]]],[[],[]]] => 3

[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [[[],[[],[[],[]]]],[[],[]]] => 3

[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [[[],[[[[],[]],[]],[]]],[]] => 2

[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [[[],[[[],[]],[[],[]]]],[]] => 3

[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [[[],[[[],[[],[]]],[]]],[]] => 2

[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [[[],[[],[[[],[]],[]]]],[]] => 2

[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [[[],[[],[[],[[],[]]]]],[]] => 2

[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [[],[[[[[],[]],[]],[]],[]]] => 2

[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [[],[[[[],[]],[]],[[],[]]]] => 3

[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [[],[[[[],[]],[[],[]]],[]]] => 3

[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [[],[[[],[]],[[[],[]],[]]]] => 3

[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [[],[[[],[]],[[],[[],[]]]]] => 3

[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [[],[[[[],[[],[]]],[]],[]]] => 2

[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [[],[[[],[[],[]]],[[],[]]]] => 3

[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [[],[[[],[[[],[]],[]]],[]]] => 2

[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [[],[[[],[[],[[],[]]]],[]]] => 2

[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [[],[[],[[[[],[]],[]],[]]]] => 2

[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [[],[[],[[[],[]],[[],[]]]]] => 3

[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [[],[[],[[[],[[],[]]],[]]]] => 2

[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [[],[[],[[],[[[],[]],[]]]]] => 2

[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [[],[[],[[],[[],[[],[]]]]]] => 2

[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [[[[[[[],[]],[]],[]],[]],[]],[]] => 2

[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => 3

[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [[[[[[],[]],[]],[]],[[],[]]],[]] => 3

[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => 3

[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => 3

[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [[[[[[],[]],[]],[[],[]]],[]],[]] => 3

[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => 3

[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [[[[[],[]],[]],[[[],[]],[]]],[]] => 3

[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [[[[[],[]],[]],[[],[[],[]]]],[]] => 3

[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [[[[],[]],[]],[[[[],[]],[]],[]]] => 3

[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [[[[],[]],[]],[[[],[]],[[],[]]]] => 3

[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => 3

[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [[[[],[]],[]],[[],[[[],[]],[]]]] => 3

[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]] => 3

[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [[[[[[],[]],[[],[]]],[]],[]],[]] => 3

[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => 3

[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [[[[[],[]],[[],[]]],[[],[]]],[]] => 3

[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [[[[],[]],[[],[]]],[[[],[]],[]]] => 3

[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[],[]],[[],[]]],[[],[[],[]]]] => 3

[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [[[[[],[]],[[[],[]],[]]],[]],[]] => 3

[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [[[[[],[]],[[],[[],[]]]],[]],[]] => 3

[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => 3

[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => 3

[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [[[[],[]],[[[[],[]],[]],[]]],[]] => 3

[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [[[[],[]],[[[],[]],[[],[]]]],[]] => 3

[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [[[[],[]],[[[],[[],[]]],[]]],[]] => 3

[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [[[[],[]],[[],[[[],[]],[]]]],[]] => 3

[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [[[[],[]],[[],[[],[[],[]]]]],[]] => 3

[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [[[],[]],[[[[[],[]],[]],[]],[]]] => 3

[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [[[],[]],[[[[],[]],[]],[[],[]]]] => 3

[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [[[],[]],[[[[],[]],[[],[]]],[]]] => 3

[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [[[],[]],[[[],[]],[[[],[]],[]]]] => 3

[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [[[],[]],[[[],[]],[[],[[],[]]]]] => 3

[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [[[],[]],[[[[],[[],[]]],[]],[]]] => 3

[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [[[],[]],[[[],[[],[]]],[[],[]]]] => 3

[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [[[],[]],[[[],[[[],[]],[]]],[]]] => 3

[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => 3

>>> Load all 196 entries. <<<

[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [[[],[]],[[],[[[[],[]],[]],[]]]] => 3

[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [[[],[]],[[],[[[],[]],[[],[]]]]] => 3

[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [[[],[]],[[],[[[],[[],[]]],[]]]] => 3

[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [[[],[]],[[],[[],[[[],[]],[]]]]] => 3

[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => 3

[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [[[[[[],[[],[]]],[]],[]],[]],[]] => 2

[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[],[[],[]]],[]],[]],[[],[]]] => 3

[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [[[[[],[[],[]]],[]],[[],[]]],[]] => 3

[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [[[[],[[],[]]],[]],[[[],[]],[]]] => 3

[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => 3

[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [[[[[],[[],[]]],[[],[]]],[]],[]] => 3

[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => 3

[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [[[[],[[],[]]],[[[],[]],[]]],[]] => 3

[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [[[[],[[],[]]],[[],[[],[]]]],[]] => 3

[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => 3

[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => 3

[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => 3

[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => 3

[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => 3

[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [[[[[],[[[],[]],[]]],[]],[]],[]] => 2

[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[[],[[],[]]]],[]],[]],[]] => 2

[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => 3

[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => 3

[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [[[[],[[[],[]],[]]],[[],[]]],[]] => 3

[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[[],[[],[]]]],[[],[]]],[]] => 3

[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => 3

[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => 3

[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => 3

[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => 3

[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [[[[],[[[[],[]],[]],[]]],[]],[]] => 2

[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [[[[],[[[],[]],[[],[]]]],[]],[]] => 3

[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [[[[],[[[],[[],[]]],[]]],[]],[]] => 2

[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[[],[[[],[]],[]]]],[]],[]] => 2

[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[],[[],[[],[[],[]]]]],[]],[]] => 2

[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => 3

[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => 3

[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => 3

[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => 3

[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => 3

[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [[[],[[[[[],[]],[]],[]],[]]],[]] => 2

[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[[[[],[]],[]],[[],[]]]],[]] => 3

[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[[[],[]],[[],[]]],[]]],[]] => 3

[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[[],[]],[[[],[]],[]]]],[]] => 3

[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[[],[]],[[],[[],[]]]]],[]] => 3

[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [[[],[[[[],[[],[]]],[]],[]]],[]] => 2

[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [[[],[[[],[[],[]]],[[],[]]]],[]] => 3

[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [[[],[[[],[[[],[]],[]]],[]]],[]] => 2

[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [[[],[[[],[[],[[],[]]]],[]]],[]] => 2

[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [[[],[[],[[[[],[]],[]],[]]]],[]] => 2

[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [[[],[[],[[[],[]],[[],[]]]]],[]] => 3

[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [[[],[[],[[[],[[],[]]],[]]]],[]] => 2

[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [[[],[[],[[],[[[],[]],[]]]]],[]] => 2

[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[],[[],[[],[[],[[],[]]]]]],[]] => 2

[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => 2

[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [[],[[[[[],[]],[]],[]],[[],[]]]] => 3

[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => 3

[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => 3

[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => 3

[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => 3

[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [[],[[[[],[]],[[],[]]],[[],[]]]] => 3

[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => 3

[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => 3

[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => 3

[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => 3

[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [[],[[[],[]],[[[],[[],[]]],[]]]] => 3

[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [[],[[[],[]],[[],[[[],[]],[]]]]] => 3

[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [[],[[[],[]],[[],[[],[[],[]]]]]] => 3

[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => 2

[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => 3

[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => 3

[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => 3

[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => 3

[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => 2

[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [[],[[[[],[[],[[],[]]]],[]],[]]] => 2

[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => 3

[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => 3

[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => 2

[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => 3

[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => 2

[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => 2

[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => 2

[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => 2

[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => 3

[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [[],[[],[[[[],[]],[[],[]]],[]]]] => 3

[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => 3

[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => 3

[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => 2

[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => 3

[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => 2

[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => 2

[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => 2

[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => 3

[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => 2

[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => 2

[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => 2

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Description

The Strahler number of a rooted tree.

Map

to complete tree

Description

Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.

Map

to binary tree: left brother = left child

Description

Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.