Identifier
-
Mp00010:
Binary trees
—to ordered tree: left child = left brother⟶
Ordered trees
St000679: Ordered trees ⟶ ℤ
Values
=>
Cc0010;cc-rep-0
Cc0021;cc-rep
[.,.]=>[[]]=>1
[.,[.,.]]=>[[[]]]=>1
[[.,.],.]=>[[],[]]=>1
[.,[.,[.,.]]]=>[[[[]]]]=>1
[.,[[.,.],.]]=>[[[],[]]]=>2
[[.,.],[.,.]]=>[[],[[]]]=>1
[[.,[.,.]],.]=>[[[]],[]]=>1
[[[.,.],.],.]=>[[],[],[]]=>1
[.,[.,[.,[.,.]]]]=>[[[[[]]]]]=>1
[.,[.,[[.,.],.]]]=>[[[[],[]]]]=>2
[.,[[.,.],[.,.]]]=>[[[],[[]]]]=>2
[.,[[.,[.,.]],.]]=>[[[[]],[]]]=>2
[.,[[[.,.],.],.]]=>[[[],[],[]]]=>2
[[.,.],[.,[.,.]]]=>[[],[[[]]]]=>1
[[.,.],[[.,.],.]]=>[[],[[],[]]]=>2
[[.,[.,.]],[.,.]]=>[[[]],[[]]]=>1
[[[.,.],.],[.,.]]=>[[],[],[[]]]=>1
[[.,[.,[.,.]]],.]=>[[[[]]],[]]=>1
[[.,[[.,.],.]],.]=>[[[],[]],[]]=>2
[[[.,.],[.,.]],.]=>[[],[[]],[]]=>1
[[[.,[.,.]],.],.]=>[[[]],[],[]]=>1
[[[[.,.],.],.],.]=>[[],[],[],[]]=>1
[.,[.,[.,[.,[.,.]]]]]=>[[[[[[]]]]]]=>1
[.,[.,[.,[[.,.],.]]]]=>[[[[[],[]]]]]=>2
[.,[.,[[.,.],[.,.]]]]=>[[[[],[[]]]]]=>2
[.,[.,[[.,[.,.]],.]]]=>[[[[[]],[]]]]=>2
[.,[.,[[[.,.],.],.]]]=>[[[[],[],[]]]]=>2
[.,[[.,.],[.,[.,.]]]]=>[[[],[[[]]]]]=>2
[.,[[.,.],[[.,.],.]]]=>[[[],[[],[]]]]=>2
[.,[[.,[.,.]],[.,.]]]=>[[[[]],[[]]]]=>2
[.,[[[.,.],.],[.,.]]]=>[[[],[],[[]]]]=>2
[.,[[.,[.,[.,.]]],.]]=>[[[[[]]],[]]]=>2
[.,[[.,[[.,.],.]],.]]=>[[[[],[]],[]]]=>2
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[[[.,[.,.]],[.,.]],.]=>[[[]],[[]],[]]=>1
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[[[.,[[.,.],.]],.],.]=>[[[],[]],[],[]]=>2
[[[[.,.],[.,.]],.],.]=>[[],[[]],[],[]]=>1
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[.,[.,[.,[.,[.,[.,.]]]]]]=>[[[[[[[]]]]]]]=>1
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[.,[.,[.,[[.,.],[.,.]]]]]=>[[[[[],[[]]]]]]=>2
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[.,[.,[[[.,.],.],[.,.]]]]=>[[[[],[],[[]]]]]=>2
[.,[.,[[.,[.,[.,.]]],.]]]=>[[[[[[]]],[]]]]=>2
[.,[.,[[.,[[.,.],.]],.]]]=>[[[[[],[]],[]]]]=>2
[.,[.,[[[.,.],[.,.]],.]]]=>[[[[],[[]],[]]]]=>2
[.,[.,[[[.,[.,.]],.],.]]]=>[[[[[]],[],[]]]]=>2
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[[.,.],[.,[[.,.],[.,.]]]]=>[[],[[[],[[]]]]]=>2
[[.,.],[.,[[.,[.,.]],.]]]=>[[],[[[[]],[]]]]=>2
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[[.,.],[[.,.],[[.,.],.]]]=>[[],[[],[[],[]]]]=>2
[[.,.],[[.,[.,.]],[.,.]]]=>[[],[[[]],[[]]]]=>2
[[.,.],[[[.,.],.],[.,.]]]=>[[],[[],[],[[]]]]=>2
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[[.,.],[[.,[[.,.],.]],.]]=>[[],[[[],[]],[]]]=>2
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[[.,[.,.]],[.,[[.,.],.]]]=>[[[]],[[[],[]]]]=>2
[[.,[.,.]],[[.,.],[.,.]]]=>[[[]],[[],[[]]]]=>2
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[[.,[[.,[.,[.,.]]],.]],.]=>[[[[[]]],[]],[]]=>2
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[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[[],[[[[]],[],[]]],[]]=>2
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[[],[[[],[],[],[]]],[]]=>2
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[],[[],[[[[]]]]],[]]=>2
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[[],[[],[[[],[]]]],[]]=>2
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[[],[[],[[],[[]]]],[]]=>2
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[[],[[],[[[]],[]]],[]]=>2
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[[],[[],[[],[],[]]],[]]=>2
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[[],[[[]],[[[]]]],[]]=>2
[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[],[[[]],[[],[]]],[]]=>2
[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[],[[],[],[[[]]]],[]]=>2
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[[],[[],[],[[],[]]],[]]=>2
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[],[[[[]]],[[]]],[]]=>2
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[[],[[[],[]],[[]]],[]]=>2
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[],[[],[[]],[[]]],[]]=>2
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[[],[[[]],[],[[]]],[]]=>2
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[],[[],[],[],[[]]],[]]=>2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[[],[[[[[]]]],[]],[]]=>2
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[[],[[[[],[]]],[]],[]]=>2
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[[],[[[],[[]]],[]],[]]=>2
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[[],[[[[]],[]],[]],[]]=>2
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[],[[[],[],[]],[]],[]]=>2
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[[],[[],[[[]]],[]],[]]=>2
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[],[[],[[],[]],[]],[]]=>2
[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[[],[[[]],[[]],[]],[]]=>2
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[],[[],[],[[]],[]],[]]=>2
[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[[],[[[[]]],[],[]],[]]=>2
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[[],[[[],[]],[],[]],[]]=>2
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[[],[[],[[]],[],[]],[]]=>2
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[[],[[[]],[],[],[]],[]]=>2
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[],[[],[],[],[],[]],[]]=>2
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[]],[[[[[]]]]],[]]=>1
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[[[]],[[[[],[]]]],[]]=>2
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[]],[[[],[[]]]],[]]=>2
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[[[]],[[[[]],[]]],[]]=>2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[[[]],[[[],[],[]]],[]]=>2
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[]],[[],[[[]]]],[]]=>2
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[]],[[],[[],[]]],[]]=>2
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[]],[[[]],[[]]],[]]=>2
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[]],[[],[],[[]]],[]]=>2
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[[[]],[[[[]]],[]],[]]=>2
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[]],[[[],[]],[]],[]]=>2
[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[]],[[],[[]],[]],[]]=>2
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[]],[[[]],[],[]],[]]=>2
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[]],[[],[],[],[]],[]]=>2
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[],[],[[[[[]]]]],[]]=>1
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[[],[],[[[[],[]]]],[]]=>2
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[[],[],[[[],[[]]]],[]]=>2
[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[[],[],[[[[]],[]]],[]]=>2
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[[],[],[[[],[],[]]],[]]=>2
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[],[],[[],[[[]]]],[]]=>2
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[],[],[[],[[],[]]],[]]=>2
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[],[],[[[]],[[]]],[]]=>2
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]=>2
[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[[],[],[[[[]]],[]],[]]=>2
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[],[],[[[],[]],[]],[]]=>2
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[],[],[[],[[]],[]],[]]=>2
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[[],[],[[[]],[],[]],[]]=>2
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]=>2
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[],[[]],[[[[]]]],[]]=>1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[[],[[]],[[[],[]]],[]]=>2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]=>2
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[[],[[]],[[[]],[]],[]]=>2
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]=>2
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[[[]],[],[[[[]]]],[]]=>1
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[[[]],[],[[[],[]]],[]]=>2
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[[[]],[],[[],[[]]],[]]=>2
[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[]],[],[[[]],[]],[]]=>2
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]=>2
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[],[],[],[[[[]]]],[]]=>1
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[[],[],[],[[[],[]]],[]]=>2
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[[],[],[],[[],[[]]],[]]=>2
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[[],[],[],[[[]],[]],[]]=>2
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[],[],[],[[],[],[]],[]]=>2
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[],[[[]]],[[[]]],[]]=>1
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[],[[[]]],[[],[]],[]]=>2
[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[],[[],[]],[[[]]],[]]=>2
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[],[[],[]],[[],[]],[]]=>2
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[]],[[]],[[[]]],[]]=>1
[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[]],[[]],[[],[]],[]]=>2
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[],[],[[]],[[[]]],[]]=>1
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[],[],[[]],[[],[]],[]]=>2
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[],[[]],[],[[[]]],[]]=>1
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[],[[]],[],[[],[]],[]]=>2
[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[]],[],[],[[[]]],[]]=>1
[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[]],[],[],[[],[]],[]]=>2
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[],[],[],[],[[[]]],[]]=>1
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[],[],[],[],[[],[]],[]]=>2
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[],[[[[]]]],[[]],[]]=>1
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[[],[[[],[]]],[[]],[]]=>2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]=>2
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[],[[[]],[]],[[]],[]]=>2
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[[],[[],[],[]],[[]],[]]=>2
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[]],[[[]]],[[]],[]]=>1
[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]=>2
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[],[],[[[]]],[[]],[]]=>1
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]=>2
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]=>1
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]=>1
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]=>1
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[],[[[]]],[],[[]],[]]=>1
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]=>2
[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[]],[[]],[],[[]],[]]=>1
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]=>1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[[[[]]],[],[],[[]],[]]=>1
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[],[]],[],[],[[]],[]]=>2
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[],[[]],[],[],[[]],[]]=>1
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[]],[],[],[],[[]],[]]=>1
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[],[],[],[],[],[[]],[]]=>1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[],[[[[[]]]]],[],[]]=>1
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[[],[[[[],[]]]],[],[]]=>2
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[[],[[[],[[]]]],[],[]]=>2
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[[],[[[[]],[]]],[],[]]=>2
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[[],[[[],[],[]]],[],[]]=>2
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[],[[],[[[]]]],[],[]]=>2
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[[],[[],[[],[]]],[],[]]=>2
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[[],[[[]],[[]]],[],[]]=>2
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[[],[[],[],[[]]],[],[]]=>2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[[],[[[[]]],[]],[],[]]=>2
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[[],[[[],[]],[]],[],[]]=>2
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[[],[[],[[]],[]],[],[]]=>2
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[[],[[[]],[],[]],[],[]]=>2
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[],[[],[],[],[]],[],[]]=>2
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[[[]],[[[[]]]],[],[]]=>1
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[[[]],[[[],[]]],[],[]]=>2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[[[]],[[],[[]]],[],[]]=>2
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[[[]],[[[]],[]],[],[]]=>2
[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[[[]],[[],[],[]],[],[]]=>2
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[],[],[[[[]]]],[],[]]=>1
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[[],[],[[[],[]]],[],[]]=>2
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[],[],[[],[[]]],[],[]]=>2
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[[],[],[[[]],[]],[],[]]=>2
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[],[],[[],[],[]],[],[]]=>2
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[[],[[]],[[[]]],[],[]]=>1
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]=>2
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[[[]],[],[[[]]],[],[]]=>1
[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]=>2
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[],[],[],[[[]]],[],[]]=>1
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[],[],[],[[],[]],[],[]]=>2
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[],[[[]]],[[]],[],[]]=>1
[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[],[[],[]],[[]],[],[]]=>2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[]],[[]],[[]],[],[]]=>1
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]=>1
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[[[[]]],[],[[]],[],[]]=>1
[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[],[]],[],[[]],[],[]]=>2
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[],[[]],[],[[]],[],[]]=>1
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[]],[],[],[[]],[],[]]=>1
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[],[],[],[],[[]],[],[]]=>1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[],[[[[]]]],[],[],[]]=>1
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[[],[[[],[]]],[],[],[]]=>2
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[[],[[],[[]]],[],[],[]]=>2
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[[],[[[]],[]],[],[],[]]=>2
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[[],[[],[],[]],[],[],[]]=>2
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[[[]],[[[]]],[],[],[]]=>1
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[]],[[],[]],[],[],[]]=>2
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[],[],[[[]]],[],[],[]]=>1
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[],[],[[],[]],[],[],[]]=>2
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]=>1
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[[[]],[],[[]],[],[],[]]=>1
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[],[],[],[[]],[],[],[]]=>1
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[],[[[]]],[],[],[],[]]=>1
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[],[[],[]],[],[],[],[]]=>2
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[[[]],[[]],[],[],[],[]]=>1
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[],[],[[]],[],[],[],[]]=>1
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[[[[]]],[],[],[],[],[]]=>1
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[[[],[]],[],[],[],[],[]]=>2
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[[],[[]],[],[],[],[],[]]=>1
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[[[]],[],[],[],[],[],[]]=>1
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[[],[],[],[],[],[],[],[]]=>1
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searching the database for statistics with the same generating function
Description
The pruning number of an ordered tree.
A hanging branch of an ordered tree is a proper factor of the form $[^r]^r$ for some $r\geq 1$. A hanging branch is a maximal hanging branch if it is not a proper factor of another hanging branch.
A pruning of an ordered tree is the act of deleting all its maximal hanging branches. The pruning order of an ordered tree is the number of prunings required to reduce it to $[]$.
A hanging branch of an ordered tree is a proper factor of the form $[^r]^r$ for some $r\geq 1$. A hanging branch is a maximal hanging branch if it is not a proper factor of another hanging branch.
A pruning of an ordered tree is the act of deleting all its maximal hanging branches. The pruning order of an ordered tree is the number of prunings required to reduce it to $[]$.
Map
to ordered tree: left child = left brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
- if $x$ is the right child of $y$, $x$ becomes the last child of $y$.
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