Identifier
Values
[1] => [1,0,1,0] => 1010 => 3
[2] => [1,1,0,0,1,0] => 110010 => 2
[1,1] => [1,0,1,1,0,0] => 101100 => 3
[3] => [1,1,1,0,0,0,1,0] => 11100010 => 3
[2,1] => [1,0,1,0,1,0] => 101010 => 5
[1,1,1] => [1,0,1,1,1,0,0,0] => 10111000 => 3
[3,1] => [1,1,0,1,0,0,1,0] => 11010010 => 2
[2,2] => [1,1,0,0,1,1,0,0] => 11001100 => 6
[2,1,1] => [1,0,1,1,0,1,0,0] => 10110100 => 6
[3,2] => [1,1,0,0,1,0,1,0] => 11001010 => 2
[3,1,1] => [1,0,1,1,0,0,1,0] => 10110010 => 3
[2,2,1] => [1,0,1,0,1,1,0,0] => 10101100 => 5
[3,2,1] => [1,0,1,0,1,0,1,0] => 10101010 => 7
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Description
The length of the longest palindromic prefix of a binary word.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
to binary word
Description
Return the Dyck word as binary word.