Identifier
Values
[.,.] => [[],[]] => 1
[.,[.,.]] => [[],[[],[]]] => 1
[[.,.],.] => [[[],[]],[]] => 1
[.,[.,[.,.]]] => [[],[[],[[],[]]]] => 1
[.,[[.,.],.]] => [[],[[[],[]],[]]] => 1
[[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[.,[.,.]],.] => [[[],[[],[]]],[]] => 1
[[[.,.],.],.] => [[[[],[]],[]],[]] => 1
[.,[.,[.,[.,.]]]] => [[],[[],[[],[[],[]]]]] => 1
[.,[.,[[.,.],.]]] => [[],[[],[[[],[]],[]]]] => 1
[.,[[.,.],[.,.]]] => [[],[[[],[]],[[],[]]]] => 1
[.,[[.,[.,.]],.]] => [[],[[[],[[],[]]],[]]] => 1
[.,[[[.,.],.],.]] => [[],[[[[],[]],[]],[]]] => 1
[[.,.],[.,[.,.]]] => [[[],[]],[[],[[],[]]]] => 2
[[.,.],[[.,.],.]] => [[[],[]],[[[],[]],[]]] => 2
[[.,[.,.]],[.,.]] => [[[],[[],[]]],[[],[]]] => 2
[[[.,.],.],[.,.]] => [[[[],[]],[]],[[],[]]] => 2
[[.,[.,[.,.]]],.] => [[[],[[],[[],[]]]],[]] => 1
[[.,[[.,.],.]],.] => [[[],[[[],[]],[]]],[]] => 1
[[[.,.],[.,.]],.] => [[[[],[]],[[],[]]],[]] => 1
[[[.,[.,.]],.],.] => [[[[],[[],[]]],[]],[]] => 1
[[[[.,.],.],.],.] => [[[[[],[]],[]],[]],[]] => 1
[.,[.,[.,[.,[.,.]]]]] => [[],[[],[[],[[],[[],[]]]]]] => 1
[.,[.,[.,[[.,.],.]]]] => [[],[[],[[],[[[],[]],[]]]]] => 1
[.,[.,[[.,.],[.,.]]]] => [[],[[],[[[],[]],[[],[]]]]] => 1
[.,[.,[[.,[.,.]],.]]] => [[],[[],[[[],[[],[]]],[]]]] => 1
[.,[.,[[[.,.],.],.]]] => [[],[[],[[[[],[]],[]],[]]]] => 1
[.,[[.,.],[.,[.,.]]]] => [[],[[[],[]],[[],[[],[]]]]] => 1
[.,[[.,.],[[.,.],.]]] => [[],[[[],[]],[[[],[]],[]]]] => 1
[.,[[.,[.,.]],[.,.]]] => [[],[[[],[[],[]]],[[],[]]]] => 1
[.,[[[.,.],.],[.,.]]] => [[],[[[[],[]],[]],[[],[]]]] => 1
[.,[[.,[.,[.,.]]],.]] => [[],[[[],[[],[[],[]]]],[]]] => 1
[.,[[.,[[.,.],.]],.]] => [[],[[[],[[[],[]],[]]],[]]] => 1
[.,[[[.,.],[.,.]],.]] => [[],[[[[],[]],[[],[]]],[]]] => 1
[.,[[[.,[.,.]],.],.]] => [[],[[[[],[[],[]]],[]],[]]] => 1
[.,[[[[.,.],.],.],.]] => [[],[[[[[],[]],[]],[]],[]]] => 1
[[.,.],[.,[.,[.,.]]]] => [[[],[]],[[],[[],[[],[]]]]] => 2
[[.,.],[.,[[.,.],.]]] => [[[],[]],[[],[[[],[]],[]]]] => 2
[[.,.],[[.,.],[.,.]]] => [[[],[]],[[[],[]],[[],[]]]] => 2
[[.,.],[[.,[.,.]],.]] => [[[],[]],[[[],[[],[]]],[]]] => 2
[[.,.],[[[.,.],.],.]] => [[[],[]],[[[[],[]],[]],[]]] => 2
[[.,[.,.]],[.,[.,.]]] => [[[],[[],[]]],[[],[[],[]]]] => 2
[[.,[.,.]],[[.,.],.]] => [[[],[[],[]]],[[[],[]],[]]] => 2
[[[.,.],.],[.,[.,.]]] => [[[[],[]],[]],[[],[[],[]]]] => 2
[[[.,.],.],[[.,.],.]] => [[[[],[]],[]],[[[],[]],[]]] => 2
[[.,[.,[.,.]]],[.,.]] => [[[],[[],[[],[]]]],[[],[]]] => 2
[[.,[[.,.],.]],[.,.]] => [[[],[[[],[]],[]]],[[],[]]] => 2
[[[.,.],[.,.]],[.,.]] => [[[[],[]],[[],[]]],[[],[]]] => 2
[[[.,[.,.]],.],[.,.]] => [[[[],[[],[]]],[]],[[],[]]] => 2
[[[[.,.],.],.],[.,.]] => [[[[[],[]],[]],[]],[[],[]]] => 2
[[.,[.,[.,[.,.]]]],.] => [[[],[[],[[],[[],[]]]]],[]] => 1
[[.,[.,[[.,.],.]]],.] => [[[],[[],[[[],[]],[]]]],[]] => 1
[[.,[[.,.],[.,.]]],.] => [[[],[[[],[]],[[],[]]]],[]] => 1
[[.,[[.,[.,.]],.]],.] => [[[],[[[],[[],[]]],[]]],[]] => 1
[[.,[[[.,.],.],.]],.] => [[[],[[[[],[]],[]],[]]],[]] => 1
[[[.,.],[.,[.,.]]],.] => [[[[],[]],[[],[[],[]]]],[]] => 1
[[[.,.],[[.,.],.]],.] => [[[[],[]],[[[],[]],[]]],[]] => 1
[[[.,[.,.]],[.,.]],.] => [[[[],[[],[]]],[[],[]]],[]] => 1
[[[[.,.],.],[.,.]],.] => [[[[[],[]],[]],[[],[]]],[]] => 1
[[[.,[.,[.,.]]],.],.] => [[[[],[[],[[],[]]]],[]],[]] => 1
[[[.,[[.,.],.]],.],.] => [[[[],[[[],[]],[]]],[]],[]] => 1
[[[[.,.],[.,.]],.],.] => [[[[[],[]],[[],[]]],[]],[]] => 1
[[[[.,[.,.]],.],.],.] => [[[[[],[[],[]]],[]],[]],[]] => 1
[[[[[.,.],.],.],.],.] => [[[[[[],[]],[]],[]],[]],[]] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [[],[[],[[[[],[]],[[],[]]],[]]]] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => 1
[.,[.,[[[[.,.],.],.],.]]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [[],[[[],[]],[[],[[],[[],[]]]]]] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [[],[[[],[]],[[],[[[],[]],[]]]]] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [[],[[[],[]],[[[],[[],[]]],[]]]] => 1
[.,[[.,.],[[[.,.],.],.]]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => 1
[.,[[[.,.],.],[[.,.],.]]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [[],[[[[],[]],[[],[]]],[[],[]]]] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => 1
[.,[[[[.,.],.],.],[.,.]]] => [[],[[[[[],[]],[]],[]],[[],[]]]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => 1
[.,[[.,[[[.,.],.],.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => 1
[.,[[[.,.],[[.,.],.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => 1
[.,[[[[.,.],.],[.,.]],.]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => 1
>>> Load all 196 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [[],[[[[],[[],[[],[]]]],[]],[]]] => 1
[.,[[[.,[[.,.],.]],.],.]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => 1
[.,[[[[.,.],[.,.]],.],.]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => 1
[.,[[[[.,[.,.]],.],.],.]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => 1
[.,[[[[[.,.],.],.],.],.]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => 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
[[[.,[.,.]],.],[.,[.,.]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => 2
[[[.,[.,.]],.],[[.,.],.]] => [[[[],[[],[]]],[]],[[[],[]],[]]] => 2
[[[[.,.],.],.],[.,[.,.]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => 2
[[[[.,.],.],.],[[.,.],.]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => 2
[[.,[[[.,.],.],.]],[.,.]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => 2
[[[.,.],[[.,.],.]],[.,.]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => 2
[[[[.,.],.],[.,.]],[.,.]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => 2
[[[.,[[.,.],.]],.],[.,.]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => 2
[[[[.,.],[.,.]],.],[.,.]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => 2
[[[[.,[.,.]],.],.],[.,.]] => [[[[[],[[],[]]],[]],[]],[[],[]]] => 2
[[[[[.,.],.],.],.],[.,.]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => 2
[[.,[.,[.,[.,[.,.]]]]],.] => [[[],[[],[[],[[],[[],[]]]]]],[]] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [[[],[[],[[],[[[],[]],[]]]]],[]] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [[[],[[],[[[],[]],[[],[]]]]],[]] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [[[],[[],[[[],[[],[]]],[]]]],[]] => 1
[[.,[.,[[[.,.],.],.]]],.] => [[[],[[],[[[[],[]],[]],[]]]],[]] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [[[],[[[],[]],[[],[[],[]]]]],[]] => 1
[[.,[[.,.],[[.,.],.]]],.] => [[[],[[[],[]],[[[],[]],[]]]],[]] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [[[],[[[],[[],[]]],[[],[]]]],[]] => 1
[[.,[[[.,.],.],[.,.]]],.] => [[[],[[[[],[]],[]],[[],[]]]],[]] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [[[],[[[],[[],[[],[]]]],[]]],[]] => 1
[[.,[[.,[[.,.],.]],.]],.] => [[[],[[[],[[[],[]],[]]],[]]],[]] => 1
[[.,[[[.,.],[.,.]],.]],.] => [[[],[[[[],[]],[[],[]]],[]]],[]] => 1
[[.,[[[.,[.,.]],.],.]],.] => [[[],[[[[],[[],[]]],[]],[]]],[]] => 1
[[.,[[[[.,.],.],.],.]],.] => [[[],[[[[[],[]],[]],[]],[]]],[]] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [[[[],[]],[[],[[],[[],[]]]]],[]] => 1
[[[.,.],[.,[[.,.],.]]],.] => [[[[],[]],[[],[[[],[]],[]]]],[]] => 1
[[[.,.],[[.,.],[.,.]]],.] => [[[[],[]],[[[],[]],[[],[]]]],[]] => 1
[[[.,.],[[.,[.,.]],.]],.] => [[[[],[]],[[[],[[],[]]],[]]],[]] => 1
[[[.,.],[[[.,.],.],.]],.] => [[[[],[]],[[[[],[]],[]],[]]],[]] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [[[[],[[],[]]],[[],[[],[]]]],[]] => 1
[[[.,[.,.]],[[.,.],.]],.] => [[[[],[[],[]]],[[[],[]],[]]],[]] => 1
[[[[.,.],.],[.,[.,.]]],.] => [[[[[],[]],[]],[[],[[],[]]]],[]] => 1
[[[[.,.],.],[[.,.],.]],.] => [[[[[],[]],[]],[[[],[]],[]]],[]] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [[[[],[[],[[],[]]]],[[],[]]],[]] => 1
[[[.,[[.,.],.]],[.,.]],.] => [[[[],[[[],[]],[]]],[[],[]]],[]] => 1
[[[[.,.],[.,.]],[.,.]],.] => [[[[[],[]],[[],[]]],[[],[]]],[]] => 1
[[[[.,[.,.]],.],[.,.]],.] => [[[[[],[[],[]]],[]],[[],[]]],[]] => 1
[[[[[.,.],.],.],[.,.]],.] => [[[[[[],[]],[]],[]],[[],[]]],[]] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [[[[],[[],[[],[[],[]]]]],[]],[]] => 1
[[[.,[.,[[.,.],.]]],.],.] => [[[[],[[],[[[],[]],[]]]],[]],[]] => 1
[[[.,[[.,.],[.,.]]],.],.] => [[[[],[[[],[]],[[],[]]]],[]],[]] => 1
[[[.,[[.,[.,.]],.]],.],.] => [[[[],[[[],[[],[]]],[]]],[]],[]] => 1
[[[.,[[[.,.],.],.]],.],.] => [[[[],[[[[],[]],[]],[]]],[]],[]] => 1
[[[[.,.],[.,[.,.]]],.],.] => [[[[[],[]],[[],[[],[]]]],[]],[]] => 1
[[[[.,.],[[.,.],.]],.],.] => [[[[[],[]],[[[],[]],[]]],[]],[]] => 1
[[[[.,[.,.]],[.,.]],.],.] => [[[[[],[[],[]]],[[],[]]],[]],[]] => 1
[[[[[.,.],.],[.,.]],.],.] => [[[[[[],[]],[]],[[],[]]],[]],[]] => 1
[[[[.,[.,[.,.]]],.],.],.] => [[[[[],[[],[[],[]]]],[]],[]],[]] => 1
[[[[.,[[.,.],.]],.],.],.] => [[[[[],[[[],[]],[]]],[]],[]],[]] => 1
[[[[[.,.],[.,.]],.],.],.] => [[[[[[],[]],[[],[]]],[]],[]],[]] => 1
[[[[[.,[.,.]],.],.],.],.] => [[[[[[],[[],[]]],[]],[]],[]],[]] => 1
[[[[[[.,.],.],.],.],.],.] => [[[[[[[],[]],[]],[]],[]],[]],[]] => 1
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
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Description
The protection number of an ordered tree.
This is the minimal distance from the root to a leaf.
Map
to complete tree
Description
Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.