Identifier
Values
[2] => 1
[1,1] => 1
[3] => 2
[2,1] => 0
[1,1,1] => 2
[4] => 2
[3,1] => 0
[2,2] => 2
[2,1,1] => 0
[1,1,1,1] => 6
[5] => 4
[4,1] => 0
[3,2] => 0
[3,1,1] => 0
[2,2,1] => 0
[2,1,1,1] => 0
[1,1,1,1,1] => 24
[6] => 2
[5,1] => 0
[4,2] => 0
[4,1,1] => 0
[3,3] => 6
[3,2,1] => 0
[3,1,1,1] => 0
[2,2,2] => 8
[2,2,1,1] => 0
[2,1,1,1,1] => 0
[1,1,1,1,1,1] => 120
[7] => 6
[6,1] => 0
[5,2] => 0
[5,1,1] => 0
[4,3] => 0
[4,2,1] => 0
[4,1,1,1] => 0
[3,3,1] => 0
[3,2,2] => 0
[3,2,1,1] => 0
[3,1,1,1,1] => 0
[2,2,2,1] => 0
[2,2,1,1,1] => 0
[2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1] => 720
[8] => 4
[7,1] => 0
[6,2] => 0
[6,1,1] => 0
[5,3] => 0
[5,2,1] => 0
[5,1,1,1] => 0
[4,4] => 8
[4,3,1] => 0
[4,2,2] => 0
[4,2,1,1] => 0
[4,1,1,1,1] => 0
[3,3,2] => 0
[3,3,1,1] => 0
[3,2,2,1] => 0
[3,2,1,1,1] => 0
[3,1,1,1,1,1] => 0
[2,2,2,2] => 48
[2,2,2,1,1] => 0
[2,2,1,1,1,1] => 0
[2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1] => 5040
[9] => 6
[8,1] => 0
[7,2] => 0
[7,1,1] => 0
[6,3] => 0
[6,2,1] => 0
[6,1,1,1] => 0
[5,4] => 0
[5,3,1] => 0
[5,2,2] => 0
[5,2,1,1] => 0
[5,1,1,1,1] => 0
[4,4,1] => 0
[4,3,2] => 0
[4,3,1,1] => 0
[4,2,2,1] => 0
[4,2,1,1,1] => 0
[4,1,1,1,1,1] => 0
[3,3,3] => 36
[3,3,2,1] => 0
[3,3,1,1,1] => 0
[3,2,2,2] => 0
[3,2,2,1,1] => 0
[3,2,1,1,1,1] => 0
[3,1,1,1,1,1,1] => 0
[2,2,2,2,1] => 0
[2,2,2,1,1,1] => 0
[2,2,1,1,1,1,1] => 0
[2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1] => 40320
[10] => 4
[9,1] => 0
[8,2] => 0
[8,1,1] => 0
[7,3] => 0
[7,2,1] => 0
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Description
The number of invariant oriented cycles when acting with a permutation of given cycle type.
References
[1] Bergeron, F., Labelle, G., Leroux, P. Combinatorial species and tree-like structures MathSciNet:1629341
Code
def statistic(la):
c = species.CycleSpecies().cycle_index_series()
return c.count(la)
Created
May 26, 2016 at 21:05 by Martin Rubey
Updated
May 26, 2016 at 21:05 by Martin Rubey
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