Identifier
Values
[1] => [1,0,1,0] => 1010 => 0010 => 2
[2] => [1,1,0,0,1,0] => 110010 => 010010 => 2
[1,1] => [1,0,1,1,0,0] => 101100 => 001100 => 2
[3] => [1,1,1,0,0,0,1,0] => 11100010 => 01100010 => 3
[2,1] => [1,0,1,0,1,0] => 101010 => 001010 => 2
[1,1,1] => [1,0,1,1,1,0,0,0] => 10111000 => 00111000 => 3
[3,1] => [1,1,0,1,0,0,1,0] => 11010010 => 01010010 => 2
[2,2] => [1,1,0,0,1,1,0,0] => 11001100 => 01001100 => 2
[2,1,1] => [1,0,1,1,0,1,0,0] => 10110100 => 00110100 => 2
[3,2] => [1,1,0,0,1,0,1,0] => 11001010 => 01001010 => 2
[3,1,1] => [1,0,1,1,0,0,1,0] => 10110010 => 00110010 => 2
[2,2,1] => [1,0,1,0,1,1,0,0] => 10101100 => 00101100 => 2
[3,2,1] => [1,0,1,0,1,0,1,0] => 10101010 => 00101010 => 2
[3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 1010101100 => 0010101100 => 2
[4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 1010101010 => 0010101010 => 2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The length of the longest constant subword.
Map
to binary word
Description
Return the Dyck word as binary word.
Map
twist
Description
Return the binary word with first letter inverted.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.