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Statistic identifier: St000318
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Collection: Integer partitions
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Description: The number of addable cells of the Ferrers diagram of an integer partition.
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References:
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Code:
def statistic(L):
return len(L.addable_cells())
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Statistic values:
[] => 1
[1] => 2
[2] => 2
[1,1] => 2
[3] => 2
[2,1] => 3
[1,1,1] => 2
[4] => 2
[3,1] => 3
[2,2] => 2
[2,1,1] => 3
[1,1,1,1] => 2
[5] => 2
[4,1] => 3
[3,2] => 3
[3,1,1] => 3
[2,2,1] => 3
[2,1,1,1] => 3
[1,1,1,1,1] => 2
[6] => 2
[5,1] => 3
[4,2] => 3
[4,1,1] => 3
[3,3] => 2
[3,2,1] => 4
[3,1,1,1] => 3
[2,2,2] => 2
[2,2,1,1] => 3
[2,1,1,1,1] => 3
[1,1,1,1,1,1] => 2
[7] => 2
[6,1] => 3
[5,2] => 3
[5,1,1] => 3
[4,3] => 3
[4,2,1] => 4
[4,1,1,1] => 3
[3,3,1] => 3
[3,2,2] => 3
[3,2,1,1] => 4
[3,1,1,1,1] => 3
[2,2,2,1] => 3
[2,2,1,1,1] => 3
[2,1,1,1,1,1] => 3
[1,1,1,1,1,1,1] => 2
[8] => 2
[7,1] => 3
[6,2] => 3
[6,1,1] => 3
[5,3] => 3
[5,2,1] => 4
[5,1,1,1] => 3
[4,4] => 2
[4,3,1] => 4
[4,2,2] => 3
[4,2,1,1] => 4
[4,1,1,1,1] => 3
[3,3,2] => 3
[3,3,1,1] => 3
[3,2,2,1] => 4
[3,2,1,1,1] => 4
[3,1,1,1,1,1] => 3
[2,2,2,2] => 2
[2,2,2,1,1] => 3
[2,2,1,1,1,1] => 3
[2,1,1,1,1,1,1] => 3
[1,1,1,1,1,1,1,1] => 2
[9] => 2
[8,1] => 3
[7,2] => 3
[7,1,1] => 3
[6,3] => 3
[6,2,1] => 4
[6,1,1,1] => 3
[5,4] => 3
[5,3,1] => 4
[5,2,2] => 3
[5,2,1,1] => 4
[5,1,1,1,1] => 3
[4,4,1] => 3
[4,3,2] => 4
[4,3,1,1] => 4
[4,2,2,1] => 4
[4,2,1,1,1] => 4
[4,1,1,1,1,1] => 3
[3,3,3] => 2
[3,3,2,1] => 4
[3,3,1,1,1] => 3
[3,2,2,2] => 3
[3,2,2,1,1] => 4
[3,2,1,1,1,1] => 4
[3,1,1,1,1,1,1] => 3
[2,2,2,2,1] => 3
[2,2,2,1,1,1] => 3
[2,2,1,1,1,1,1] => 3
[2,1,1,1,1,1,1,1] => 3
[1,1,1,1,1,1,1,1,1] => 2
[10] => 2
[9,1] => 3
[8,2] => 3
[8,1,1] => 3
[7,3] => 3
[7,2,1] => 4
[7,1,1,1] => 3
[6,4] => 3
[6,3,1] => 4
[6,2,2] => 3
[6,2,1,1] => 4
[6,1,1,1,1] => 3
[5,5] => 2
[5,4,1] => 4
[5,3,2] => 4
[5,3,1,1] => 4
[5,2,2,1] => 4
[5,2,1,1,1] => 4
[5,1,1,1,1,1] => 3
[4,4,2] => 3
[4,4,1,1] => 3
[4,3,3] => 3
[4,3,2,1] => 5
[4,3,1,1,1] => 4
[4,2,2,2] => 3
[4,2,2,1,1] => 4
[4,2,1,1,1,1] => 4
[4,1,1,1,1,1,1] => 3
[3,3,3,1] => 3
[3,3,2,2] => 3
[3,3,2,1,1] => 4
[3,3,1,1,1,1] => 3
[3,2,2,2,1] => 4
[3,2,2,1,1,1] => 4
[3,2,1,1,1,1,1] => 4
[3,1,1,1,1,1,1,1] => 3
[2,2,2,2,2] => 2
[2,2,2,2,1,1] => 3
[2,2,2,1,1,1,1] => 3
[2,2,1,1,1,1,1,1] => 3
[2,1,1,1,1,1,1,1,1] => 3
[1,1,1,1,1,1,1,1,1,1] => 2
[5,4,2] => 4
[5,4,1,1] => 4
[5,3,3] => 3
[5,3,2,1] => 5
[5,3,1,1,1] => 4
[5,2,2,2] => 3
[5,2,2,1,1] => 4
[4,4,3] => 3
[4,4,2,1] => 4
[4,4,1,1,1] => 3
[4,3,3,1] => 4
[4,3,2,2] => 4
[4,3,2,1,1] => 5
[4,2,2,2,1] => 4
[3,3,3,2] => 3
[3,3,3,1,1] => 3
[3,3,2,2,1] => 4
[6,4,2] => 4
[5,4,3] => 4
[5,4,2,1] => 5
[5,4,1,1,1] => 4
[5,3,3,1] => 4
[5,3,2,2] => 4
[5,3,2,1,1] => 5
[5,2,2,2,1] => 4
[4,4,3,1] => 4
[4,4,2,2] => 3
[4,4,2,1,1] => 4
[4,3,3,2] => 4
[4,3,3,1,1] => 4
[4,3,2,2,1] => 5
[3,3,3,2,1] => 4
[3,3,2,2,1,1] => 4
[5,4,3,1] => 5
[5,4,2,2] => 4
[5,4,2,1,1] => 5
[5,3,3,2] => 4
[5,3,3,1,1] => 4
[5,3,2,2,1] => 5
[4,4,3,2] => 4
[4,4,3,1,1] => 4
[4,4,2,2,1] => 4
[4,3,3,2,1] => 5
[5,4,3,2] => 5
[5,4,3,1,1] => 5
[5,4,2,2,1] => 5
[5,3,3,2,1] => 5
[4,4,3,2,1] => 5
[5,4,3,2,1] => 6
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Created: Dec 08, 2015 at 16:29 by Christian Stump
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Last Updated: May 14, 2018 at 20:50 by Martin Rubey