Identifier
- St000051: Binary trees ⟶ ℤ
Values
=>
Cc0010;cc-rep
[.,.]=>0
[.,[.,.]]=>0
[[.,.],.]=>1
[.,[.,[.,.]]]=>0
[.,[[.,.],.]]=>0
[[.,.],[.,.]]=>1
[[.,[.,.]],.]=>2
[[[.,.],.],.]=>2
[.,[.,[.,[.,.]]]]=>0
[.,[.,[[.,.],.]]]=>0
[.,[[.,.],[.,.]]]=>0
[.,[[.,[.,.]],.]]=>0
[.,[[[.,.],.],.]]=>0
[[.,.],[.,[.,.]]]=>1
[[.,.],[[.,.],.]]=>1
[[.,[.,.]],[.,.]]=>2
[[[.,.],.],[.,.]]=>2
[[.,[.,[.,.]]],.]=>3
[[.,[[.,.],.]],.]=>3
[[[.,.],[.,.]],.]=>3
[[[.,[.,.]],.],.]=>3
[[[[.,.],.],.],.]=>3
[.,[.,[.,[.,[.,.]]]]]=>0
[.,[.,[.,[[.,.],.]]]]=>0
[.,[.,[[.,.],[.,.]]]]=>0
[.,[.,[[.,[.,.]],.]]]=>0
[.,[.,[[[.,.],.],.]]]=>0
[.,[[.,.],[.,[.,.]]]]=>0
[.,[[.,.],[[.,.],.]]]=>0
[.,[[.,[.,.]],[.,.]]]=>0
[.,[[[.,.],.],[.,.]]]=>0
[.,[[.,[.,[.,.]]],.]]=>0
[.,[[.,[[.,.],.]],.]]=>0
[.,[[[.,.],[.,.]],.]]=>0
[.,[[[.,[.,.]],.],.]]=>0
[.,[[[[.,.],.],.],.]]=>0
[[.,.],[.,[.,[.,.]]]]=>1
[[.,.],[.,[[.,.],.]]]=>1
[[.,.],[[.,.],[.,.]]]=>1
[[.,.],[[.,[.,.]],.]]=>1
[[.,.],[[[.,.],.],.]]=>1
[[.,[.,.]],[.,[.,.]]]=>2
[[.,[.,.]],[[.,.],.]]=>2
[[[.,.],.],[.,[.,.]]]=>2
[[[.,.],.],[[.,.],.]]=>2
[[.,[.,[.,.]]],[.,.]]=>3
[[.,[[.,.],.]],[.,.]]=>3
[[[.,.],[.,.]],[.,.]]=>3
[[[.,[.,.]],.],[.,.]]=>3
[[[[.,.],.],.],[.,.]]=>3
[[.,[.,[.,[.,.]]]],.]=>4
[[.,[.,[[.,.],.]]],.]=>4
[[.,[[.,.],[.,.]]],.]=>4
[[.,[[.,[.,.]],.]],.]=>4
[[.,[[[.,.],.],.]],.]=>4
[[[.,.],[.,[.,.]]],.]=>4
[[[.,.],[[.,.],.]],.]=>4
[[[.,[.,.]],[.,.]],.]=>4
[[[[.,.],.],[.,.]],.]=>4
[[[.,[.,[.,.]]],.],.]=>4
[[[.,[[.,.],.]],.],.]=>4
[[[[.,.],[.,.]],.],.]=>4
[[[[.,[.,.]],.],.],.]=>4
[[[[[.,.],.],.],.],.]=>4
[.,[.,[.,[.,[.,[.,.]]]]]]=>0
[.,[.,[.,[.,[[.,.],.]]]]]=>0
[.,[.,[.,[[.,.],[.,.]]]]]=>0
[.,[.,[.,[[.,[.,.]],.]]]]=>0
[.,[.,[.,[[[.,.],.],.]]]]=>0
[.,[.,[[.,.],[.,[.,.]]]]]=>0
[.,[.,[[.,.],[[.,.],.]]]]=>0
[.,[.,[[.,[.,.]],[.,.]]]]=>0
[.,[.,[[[.,.],.],[.,.]]]]=>0
[.,[.,[[.,[.,[.,.]]],.]]]=>0
[.,[.,[[.,[[.,.],.]],.]]]=>0
[.,[.,[[[.,.],[.,.]],.]]]=>0
[.,[.,[[[.,[.,.]],.],.]]]=>0
[.,[.,[[[[.,.],.],.],.]]]=>0
[.,[[.,.],[.,[.,[.,.]]]]]=>0
[.,[[.,.],[.,[[.,.],.]]]]=>0
[.,[[.,.],[[.,.],[.,.]]]]=>0
[.,[[.,.],[[.,[.,.]],.]]]=>0
[.,[[.,.],[[[.,.],.],.]]]=>0
[.,[[.,[.,.]],[.,[.,.]]]]=>0
[.,[[.,[.,.]],[[.,.],.]]]=>0
[.,[[[.,.],.],[.,[.,.]]]]=>0
[.,[[[.,.],.],[[.,.],.]]]=>0
[.,[[.,[.,[.,.]]],[.,.]]]=>0
[.,[[.,[[.,.],.]],[.,.]]]=>0
[.,[[[.,.],[.,.]],[.,.]]]=>0
[.,[[[.,[.,.]],.],[.,.]]]=>0
[.,[[[[.,.],.],.],[.,.]]]=>0
[.,[[.,[.,[.,[.,.]]]],.]]=>0
[.,[[.,[.,[[.,.],.]]],.]]=>0
[.,[[.,[[.,.],[.,.]]],.]]=>0
[.,[[.,[[.,[.,.]],.]],.]]=>0
[.,[[.,[[[.,.],.],.]],.]]=>0
[.,[[[.,.],[.,[.,.]]],.]]=>0
[.,[[[.,.],[[.,.],.]],.]]=>0
[.,[[[.,[.,.]],[.,.]],.]]=>0
[.,[[[[.,.],.],[.,.]],.]]=>0
[.,[[[.,[.,[.,.]]],.],.]]=>0
[.,[[[.,[[.,.],.]],.],.]]=>0
[.,[[[[.,.],[.,.]],.],.]]=>0
[.,[[[[.,[.,.]],.],.],.]]=>0
[.,[[[[[.,.],.],.],.],.]]=>0
[[.,.],[.,[.,[.,[.,.]]]]]=>1
[[.,.],[.,[.,[[.,.],.]]]]=>1
[[.,.],[.,[[.,.],[.,.]]]]=>1
[[.,.],[.,[[.,[.,.]],.]]]=>1
[[.,.],[.,[[[.,.],.],.]]]=>1
[[.,.],[[.,.],[.,[.,.]]]]=>1
[[.,.],[[.,.],[[.,.],.]]]=>1
[[.,.],[[.,[.,.]],[.,.]]]=>1
[[.,.],[[[.,.],.],[.,.]]]=>1
[[.,.],[[.,[.,[.,.]]],.]]=>1
[[.,.],[[.,[[.,.],.]],.]]=>1
[[.,.],[[[.,.],[.,.]],.]]=>1
[[.,.],[[[.,[.,.]],.],.]]=>1
[[.,.],[[[[.,.],.],.],.]]=>1
[[.,[.,.]],[.,[.,[.,.]]]]=>2
[[.,[.,.]],[.,[[.,.],.]]]=>2
[[.,[.,.]],[[.,.],[.,.]]]=>2
[[.,[.,.]],[[.,[.,.]],.]]=>2
[[.,[.,.]],[[[.,.],.],.]]=>2
[[[.,.],.],[.,[.,[.,.]]]]=>2
[[[.,.],.],[.,[[.,.],.]]]=>2
[[[.,.],.],[[.,.],[.,.]]]=>2
[[[.,.],.],[[.,[.,.]],.]]=>2
[[[.,.],.],[[[.,.],.],.]]=>2
[[.,[.,[.,.]]],[.,[.,.]]]=>3
[[.,[.,[.,.]]],[[.,.],.]]=>3
[[.,[[.,.],.]],[.,[.,.]]]=>3
[[.,[[.,.],.]],[[.,.],.]]=>3
[[[.,.],[.,.]],[.,[.,.]]]=>3
[[[.,.],[.,.]],[[.,.],.]]=>3
[[[.,[.,.]],.],[.,[.,.]]]=>3
[[[.,[.,.]],.],[[.,.],.]]=>3
[[[[.,.],.],.],[.,[.,.]]]=>3
[[[[.,.],.],.],[[.,.],.]]=>3
[[.,[.,[.,[.,.]]]],[.,.]]=>4
[[.,[.,[[.,.],.]]],[.,.]]=>4
[[.,[[.,.],[.,.]]],[.,.]]=>4
[[.,[[.,[.,.]],.]],[.,.]]=>4
[[.,[[[.,.],.],.]],[.,.]]=>4
[[[.,.],[.,[.,.]]],[.,.]]=>4
[[[.,.],[[.,.],.]],[.,.]]=>4
[[[.,[.,.]],[.,.]],[.,.]]=>4
[[[[.,.],.],[.,.]],[.,.]]=>4
[[[.,[.,[.,.]]],.],[.,.]]=>4
[[[.,[[.,.],.]],.],[.,.]]=>4
[[[[.,.],[.,.]],.],[.,.]]=>4
[[[[.,[.,.]],.],.],[.,.]]=>4
[[[[[.,.],.],.],.],[.,.]]=>4
[[.,[.,[.,[.,[.,.]]]]],.]=>5
[[.,[.,[.,[[.,.],.]]]],.]=>5
[[.,[.,[[.,.],[.,.]]]],.]=>5
[[.,[.,[[.,[.,.]],.]]],.]=>5
[[.,[.,[[[.,.],.],.]]],.]=>5
[[.,[[.,.],[.,[.,.]]]],.]=>5
[[.,[[.,.],[[.,.],.]]],.]=>5
[[.,[[.,[.,.]],[.,.]]],.]=>5
[[.,[[[.,.],.],[.,.]]],.]=>5
[[.,[[.,[.,[.,.]]],.]],.]=>5
[[.,[[.,[[.,.],.]],.]],.]=>5
[[.,[[[.,.],[.,.]],.]],.]=>5
[[.,[[[.,[.,.]],.],.]],.]=>5
[[.,[[[[.,.],.],.],.]],.]=>5
[[[.,.],[.,[.,[.,.]]]],.]=>5
[[[.,.],[.,[[.,.],.]]],.]=>5
[[[.,.],[[.,.],[.,.]]],.]=>5
[[[.,.],[[.,[.,.]],.]],.]=>5
[[[.,.],[[[.,.],.],.]],.]=>5
[[[.,[.,.]],[.,[.,.]]],.]=>5
[[[.,[.,.]],[[.,.],.]],.]=>5
[[[[.,.],.],[.,[.,.]]],.]=>5
[[[[.,.],.],[[.,.],.]],.]=>5
[[[.,[.,[.,.]]],[.,.]],.]=>5
[[[.,[[.,.],.]],[.,.]],.]=>5
[[[[.,.],[.,.]],[.,.]],.]=>5
[[[[.,[.,.]],.],[.,.]],.]=>5
[[[[[.,.],.],.],[.,.]],.]=>5
[[[.,[.,[.,[.,.]]]],.],.]=>5
[[[.,[.,[[.,.],.]]],.],.]=>5
[[[.,[[.,.],[.,.]]],.],.]=>5
[[[.,[[.,[.,.]],.]],.],.]=>5
[[[.,[[[.,.],.],.]],.],.]=>5
[[[[.,.],[.,[.,.]]],.],.]=>5
[[[[.,.],[[.,.],.]],.],.]=>5
[[[[.,[.,.]],[.,.]],.],.]=>5
[[[[[.,.],.],[.,.]],.],.]=>5
[[[[.,[.,[.,.]]],.],.],.]=>5
[[[[.,[[.,.],.]],.],.],.]=>5
[[[[[.,.],[.,.]],.],.],.]=>5
[[[[[.,[.,.]],.],.],.],.]=>5
[[[[[[.,.],.],.],.],.],.]=>5
search for individual values
searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
Description
The size of the left subtree of a binary tree.
Code
def statistic(T): return T[0].node_number()
Created
Mar 25, 2013 at 11:24 by Viviane Pons
Updated
Oct 17, 2015 at 10:47 by Christian Stump
searching the database
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