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Statistic identifier: St000228
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Collection: Integer partitions
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Description: The size of a partition.
This statistic is the constant statistic of the level sets.
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References:
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Code:
def statistic(x):
return x.size()
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Statistic values:
[] => 0
[1] => 1
[2] => 2
[1,1] => 2
[3] => 3
[2,1] => 3
[1,1,1] => 3
[4] => 4
[3,1] => 4
[2,2] => 4
[2,1,1] => 4
[1,1,1,1] => 4
[5] => 5
[4,1] => 5
[3,2] => 5
[3,1,1] => 5
[2,2,1] => 5
[2,1,1,1] => 5
[1,1,1,1,1] => 5
[6] => 6
[5,1] => 6
[4,2] => 6
[4,1,1] => 6
[3,3] => 6
[3,2,1] => 6
[3,1,1,1] => 6
[2,2,2] => 6
[2,2,1,1] => 6
[2,1,1,1,1] => 6
[1,1,1,1,1,1] => 6
[7] => 7
[6,1] => 7
[5,2] => 7
[5,1,1] => 7
[4,3] => 7
[4,2,1] => 7
[4,1,1,1] => 7
[3,3,1] => 7
[3,2,2] => 7
[3,2,1,1] => 7
[3,1,1,1,1] => 7
[2,2,2,1] => 7
[2,2,1,1,1] => 7
[2,1,1,1,1,1] => 7
[1,1,1,1,1,1,1] => 7
[8] => 8
[7,1] => 8
[6,2] => 8
[6,1,1] => 8
[5,3] => 8
[5,2,1] => 8
[5,1,1,1] => 8
[4,4] => 8
[4,3,1] => 8
[4,2,2] => 8
[4,2,1,1] => 8
[4,1,1,1,1] => 8
[3,3,2] => 8
[3,3,1,1] => 8
[3,2,2,1] => 8
[3,2,1,1,1] => 8
[3,1,1,1,1,1] => 8
[2,2,2,2] => 8
[2,2,2,1,1] => 8
[2,2,1,1,1,1] => 8
[2,1,1,1,1,1,1] => 8
[1,1,1,1,1,1,1,1] => 8
[9] => 9
[8,1] => 9
[7,2] => 9
[7,1,1] => 9
[6,3] => 9
[6,2,1] => 9
[6,1,1,1] => 9
[5,4] => 9
[5,3,1] => 9
[5,2,2] => 9
[5,2,1,1] => 9
[5,1,1,1,1] => 9
[4,4,1] => 9
[4,3,2] => 9
[4,3,1,1] => 9
[4,2,2,1] => 9
[4,2,1,1,1] => 9
[4,1,1,1,1,1] => 9
[3,3,3] => 9
[3,3,2,1] => 9
[3,3,1,1,1] => 9
[3,2,2,2] => 9
[3,2,2,1,1] => 9
[3,2,1,1,1,1] => 9
[3,1,1,1,1,1,1] => 9
[2,2,2,2,1] => 9
[2,2,2,1,1,1] => 9
[2,2,1,1,1,1,1] => 9
[2,1,1,1,1,1,1,1] => 9
[1,1,1,1,1,1,1,1,1] => 9
[10] => 10
[9,1] => 10
[8,2] => 10
[8,1,1] => 10
[7,3] => 10
[7,2,1] => 10
[7,1,1,1] => 10
[6,4] => 10
[6,3,1] => 10
[6,2,2] => 10
[6,2,1,1] => 10
[6,1,1,1,1] => 10
[5,5] => 10
[5,4,1] => 10
[5,3,2] => 10
[5,3,1,1] => 10
[5,2,2,1] => 10
[5,2,1,1,1] => 10
[5,1,1,1,1,1] => 10
[4,4,2] => 10
[4,4,1,1] => 10
[4,3,3] => 10
[4,3,2,1] => 10
[4,3,1,1,1] => 10
[4,2,2,2] => 10
[4,2,2,1,1] => 10
[4,2,1,1,1,1] => 10
[4,1,1,1,1,1,1] => 10
[3,3,3,1] => 10
[3,3,2,2] => 10
[3,3,2,1,1] => 10
[3,3,1,1,1,1] => 10
[3,2,2,2,1] => 10
[3,2,2,1,1,1] => 10
[3,2,1,1,1,1,1] => 10
[3,1,1,1,1,1,1,1] => 10
[2,2,2,2,2] => 10
[2,2,2,2,1,1] => 10
[2,2,2,1,1,1,1] => 10
[2,2,1,1,1,1,1,1] => 10
[2,1,1,1,1,1,1,1,1] => 10
[1,1,1,1,1,1,1,1,1,1] => 10
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Created: Nov 19, 2014 at 16:52 by Ayushi Saxena
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Last Updated: Oct 29, 2017 at 16:36 by Martin Rubey