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Identifier
Values
[[1],[]] => 1
[[2],[]] => 2
[[1,1],[]] => 2
[[2,1],[1]] => 2
[[3],[]] => 2
[[2,1],[]] => 3
[[3,1],[1]] => 3
[[2,2],[1]] => 3
[[3,2],[2]] => 3
[[1,1,1],[]] => 2
[[2,2,1],[1,1]] => 3
[[2,1,1],[1]] => 3
[[3,2,1],[2,1]] => 3
[[4],[]] => 2
[[3,1],[]] => 3
[[4,1],[1]] => 3
[[2,2],[]] => 2
[[3,2],[1]] => 4
[[4,2],[2]] => 4
[[2,1,1],[]] => 3
[[3,2,1],[1,1]] => 4
[[3,1,1],[1]] => 4
[[4,2,1],[2,1]] => 4
[[3,3],[2]] => 3
[[4,3],[3]] => 3
[[2,2,1],[1]] => 4
[[3,3,1],[2,1]] => 4
[[3,2,1],[2]] => 4
[[4,3,1],[3,1]] => 4
[[2,2,2],[1,1]] => 3
[[3,3,2],[2,2]] => 4
[[3,2,2],[2,1]] => 4
[[4,3,2],[3,2]] => 4
[[1,1,1,1],[]] => 2
[[2,2,2,1],[1,1,1]] => 3
[[2,2,1,1],[1,1]] => 4
[[3,3,2,1],[2,2,1]] => 4
[[2,1,1,1],[1]] => 3
[[3,2,2,1],[2,1,1]] => 4
[[3,2,1,1],[2,1]] => 4
[[4,3,2,1],[3,2,1]] => 4
[[5],[]] => 2
[[4,1],[]] => 3
[[5,1],[1]] => 3
[[3,2],[]] => 3
[[4,2],[1]] => 4
[[5,2],[2]] => 4
[[3,1,1],[]] => 3
[[4,2,1],[1,1]] => 4
[[4,1,1],[1]] => 4
[[5,2,1],[2,1]] => 4
[[3,3],[1]] => 3
[[4,3],[2]] => 4
[[5,3],[3]] => 4
[[2,2,1],[]] => 3
[[3,3,1],[1,1]] => 3
[[3,2,1],[1]] => 5
[[4,3,1],[2,1]] => 5
[[4,2,1],[2]] => 5
[[5,3,1],[3,1]] => 5
[[3,2,2],[1,1]] => 4
[[4,3,2],[2,2]] => 5
[[4,2,2],[2,1]] => 5
[[5,3,2],[3,2]] => 5
[[2,1,1,1],[]] => 3
[[3,2,2,1],[1,1,1]] => 4
[[3,2,1,1],[1,1]] => 5
[[4,3,2,1],[2,2,1]] => 5
[[3,1,1,1],[1]] => 4
[[4,2,2,1],[2,1,1]] => 5
[[4,2,1,1],[2,1]] => 5
[[5,3,2,1],[3,2,1]] => 5
[[4,4],[3]] => 3
[[5,4],[4]] => 3
[[3,3,1],[2]] => 4
[[4,4,1],[3,1]] => 4
[[4,3,1],[3]] => 4
[[5,4,1],[4,1]] => 4
[[2,2,2],[1]] => 3
[[3,3,2],[2,1]] => 5
[[4,4,2],[3,2]] => 5
[[3,2,2],[2]] => 3
[[4,3,2],[3,1]] => 5
[[5,4,2],[4,2]] => 5
[[2,2,1,1],[1]] => 4
[[3,3,2,1],[2,1,1]] => 5
[[3,3,1,1],[2,1]] => 5
[[4,4,2,1],[3,2,1]] => 5
[[3,2,1,1],[2]] => 4
[[4,3,2,1],[3,1,1]] => 5
[[4,3,1,1],[3,1]] => 5
[[5,4,2,1],[4,2,1]] => 5
[[3,3,3],[2,2]] => 3
[[4,4,3],[3,3]] => 4
[[4,3,3],[3,2]] => 4
[[5,4,3],[4,3]] => 4
[[2,2,2,1],[1,1]] => 4
[[3,3,3,1],[2,2,1]] => 4
[[3,3,2,1],[2,2]] => 5
[[4,4,3,1],[3,3,1]] => 5
[[3,2,2,1],[2,1]] => 5
>>> Load all 128 entries. <<<
[[4,3,3,1],[3,2,1]] => 5
[[4,3,2,1],[3,2]] => 5
[[5,4,3,1],[4,3,1]] => 5
[[2,2,2,2],[1,1,1]] => 3
[[3,3,3,2],[2,2,2]] => 4
[[3,3,2,2],[2,2,1]] => 5
[[4,4,3,2],[3,3,2]] => 5
[[3,2,2,2],[2,1,1]] => 4
[[4,3,3,2],[3,2,2]] => 5
[[4,3,2,2],[3,2,1]] => 5
[[5,4,3,2],[4,3,2]] => 5
[[1,1,1,1,1],[]] => 2
[[2,2,2,2,1],[1,1,1,1]] => 3
[[2,2,2,1,1],[1,1,1]] => 4
[[3,3,3,2,1],[2,2,2,1]] => 4
[[2,2,1,1,1],[1,1]] => 4
[[3,3,2,2,1],[2,2,1,1]] => 5
[[3,3,2,1,1],[2,2,1]] => 5
[[4,4,3,2,1],[3,3,2,1]] => 5
[[2,1,1,1,1],[1]] => 3
[[3,2,2,2,1],[2,1,1,1]] => 4
[[3,2,2,1,1],[2,1,1]] => 5
[[4,3,3,2,1],[3,2,2,1]] => 5
[[3,2,1,1,1],[2,1]] => 4
[[4,3,2,2,1],[3,2,1,1]] => 5
[[4,3,2,1,1],[3,2,1]] => 5
[[5,4,3,2,1],[4,3,2,1]] => 5
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Description
The number of corners of a skew partition.
This is also known as the number of removable cells of the skew partition.
Code
def statistic(L):
    return len(set(L.inner_corners()).union(L.outer_corners()))
Created
Oct 28, 2019 at 19:23 by Martin Rubey
Updated
Nov 06, 2019 at 16:39 by Martin Rubey