Identifier
Values
([],1) => [1] => [[1],[]] => 0
([],2) => [1,1] => [[1,1],[]] => 0
([(0,1)],2) => [2] => [[2],[]] => 0
([],3) => [1,1,1] => [[1,1,1],[]] => 0
([(1,2)],3) => [2,1] => [[2,1],[]] => 0
([(0,2),(1,2)],3) => [2,2] => [[2,2],[]] => 1
([(0,1),(0,2),(1,2)],3) => [3] => [[3],[]] => 0
([],4) => [1,1,1,1] => [[1,1,1,1],[]] => 0
([(2,3)],4) => [2,1,1] => [[2,1,1],[]] => 0
([(1,3),(2,3)],4) => [2,2,1] => [[2,2,1],[]] => 1
([(0,3),(1,3),(2,3)],4) => [2,2,2] => [[2,2,2],[]] => 2
([(0,3),(1,2)],4) => [2,2] => [[2,2],[]] => 1
([(0,3),(1,2),(2,3)],4) => [2,2,2] => [[2,2,2],[]] => 2
([(1,2),(1,3),(2,3)],4) => [3,1] => [[3,1],[]] => 0
([(0,3),(1,2),(1,3),(2,3)],4) => [3,2] => [[3,2],[]] => 1
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [3,3] => [[3,3],[]] => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [[4],[]] => 0
([],5) => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
([(3,4)],5) => [2,1,1,1] => [[2,1,1,1],[]] => 0
([(2,4),(3,4)],5) => [2,2,1,1] => [[2,2,1,1],[]] => 1
([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => [[2,2,2,1],[]] => 2
([(1,4),(2,3)],5) => [2,2,1] => [[2,2,1],[]] => 1
([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => [[2,2,2,1],[]] => 2
([(0,1),(2,4),(3,4)],5) => [2,2,2] => [[2,2,2],[]] => 2
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,1,1],[]] => 0
([(1,4),(2,3),(2,4),(3,4)],5) => [3,2,1] => [[3,2,1],[]] => 1
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,2,2] => [[3,2,2],[]] => 2
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,1] => [[3,3,1],[]] => 2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,2,2] => [[3,2,2],[]] => 2
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [[3,2],[]] => 1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [3,2,2] => [[3,2,2],[]] => 2
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [3,3] => [[3,3],[]] => 2
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [[4,1],[]] => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,2] => [[4,2],[]] => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,3] => [[4,3],[]] => 2
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [[5],[]] => 0
([],6) => [1,1,1,1,1,1] => [[1,1,1,1,1,1],[]] => 0
([(4,5)],6) => [2,1,1,1,1] => [[2,1,1,1,1],[]] => 0
([(3,5),(4,5)],6) => [2,2,1,1,1] => [[2,2,1,1,1],[]] => 1
([(2,5),(3,4)],6) => [2,2,1,1] => [[2,2,1,1],[]] => 1
([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => [[2,2,2,1],[]] => 2
([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [[3,1,1,1],[]] => 0
([(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1,1] => [[3,2,1,1],[]] => 1
([(0,5),(1,4),(2,3)],6) => [2,2,2] => [[2,2,2],[]] => 2
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [[3,2,1],[]] => 1
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2] => [[3,2,2],[]] => 2
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,1] => [[3,3,1],[]] => 2
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,2] => [[3,2,2],[]] => 2
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [[4,1,1],[]] => 0
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,1] => [[4,2,1],[]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [[3,3],[]] => 2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [[4,2],[]] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3] => [[4,3],[]] => 2
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [[5,1],[]] => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,2] => [[5,2],[]] => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [[6],[]] => 0
([],7) => [1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]] => 0
([(5,6)],7) => [2,1,1,1,1,1] => [[2,1,1,1,1,1],[]] => 0
([(3,6),(4,5)],7) => [2,2,1,1,1] => [[2,2,1,1,1],[]] => 1
([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [[3,1,1,1,1],[]] => 0
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [[2,2,2,1],[]] => 2
([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [[3,2,1,1],[]] => 1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [[4,1,1,1],[]] => 0
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [[3,2,2],[]] => 2
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [[3,3,1],[]] => 2
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [[4,2,1],[]] => 1
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [[5,1,1],[]] => 0
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [[4,3],[]] => 2
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [[5,2],[]] => 1
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [[6,1],[]] => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [[7],[]] => 0
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 number of two-by-two squares inside a skew partition.
This is, the number of cells $(i,j)$ in a skew partition for which the box $(i+1,j+1)$ is also a cell inside the skew partition.
Map
to skew partition
Description
The partition regarded as a skew partition.
Map
clique sizes
Description
The integer partition of the sizes of the maximal cliques of a graph.