edit this statistic or download as text // json
Identifier
Values
=>
Cc0010;cc-rep
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[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>32 [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>32 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>64 [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>64 [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>16 [.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>64 [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>64 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>128 [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>128 [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>32 [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>128 [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>128 [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>64 [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>64 [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>64 [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>64 [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>128 [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>128 [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>32 [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>128 [.,[[[[[[[.,.],.],.],.],.],.],.]]=>128 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>64 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>64 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>16 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>64 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>64 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>32 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>32 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>32 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>32 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>64 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>64 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>16 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>64 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>64 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>32 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>32 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>8 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>32 [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>32 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>16 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>16 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>16 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>16 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>32 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>32 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>8 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>32 [[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>32 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>64 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>64 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>16 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>64 [[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>64 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>32 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>32 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>32 [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>32 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>64 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>64 [[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>16 [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>64 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>64 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>32 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>32 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>8 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>32 [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>32 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>16 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>16 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>16 [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>16 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>32 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>32 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>8 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>32 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>32 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>32 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>32 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>8 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>32 [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>32 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>32 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>32 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>8 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>32 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>32 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>32 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>32 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>32 [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>32 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>8 [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>8 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>32 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>32 [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>32 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>32 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>32 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>32 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>8 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>32 [[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>32 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>16 [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>16 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>16 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>16 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>32 [[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>32 [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>8 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>32 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>32 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>64 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>64 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>16 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>64 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>64 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>32 [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>32 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>32 [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>32 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>64 [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>64 [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>16 [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>64 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>64 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>32 [[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>32 [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>8 [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>32 [[.,.],[[[.,.],[[[.,.],.],.]],.]]=>32 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>16 [[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>16 [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>16 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>16 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>32 [[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>32 [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>8 [[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>32 [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>32 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>64 [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>64 [[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>16 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>64 [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>64 [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>32 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>32 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>32 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>32 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>64 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>64 [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>16 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>64 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>64 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>64 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>64 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>16 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>64 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>64 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>32 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>32 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>32 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>32 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>64 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>64 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>16 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>64 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>64 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>32
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Description
The number of binary trees with the same underlying unordered tree.
Code
@cached_function
def Binary_to_Rooted(n):
    return [RootedTree(S) for S in BinaryTrees(n)]

def statistic(tree):
    return Binary_to_Rooted(tree.node_number()).count(RootedTree(tree))
Created
Feb 25, 2016 at 10:48 by Martin Rubey
Updated
Feb 25, 2016 at 10:48 by Martin Rubey