- FindStat

Identifier

St000706: Integer partitions ⟶ ℤ

Values

[2] => 1

[1,1] => 2

[3] => 1

[2,1] => 1

[1,1,1] => 6

[4] => 1

[3,1] => 1

[2,2] => 2

[2,1,1] => 2

[1,1,1,1] => 24

[5] => 1

[4,1] => 1

[3,2] => 1

[3,1,1] => 2

[2,2,1] => 2

[2,1,1,1] => 6

[1,1,1,1,1] => 120

[6] => 1

[5,1] => 1

[4,2] => 1

[4,1,1] => 2

[3,3] => 2

[3,2,1] => 1

[3,1,1,1] => 6

[2,2,2] => 6

[2,2,1,1] => 4

[2,1,1,1,1] => 24

[1,1,1,1,1,1] => 720

[7] => 1

[6,1] => 1

[5,2] => 1

[5,1,1] => 2

[4,3] => 1

[4,2,1] => 1

[4,1,1,1] => 6

[3,3,1] => 2

[3,2,2] => 2

[3,2,1,1] => 2

[3,1,1,1,1] => 24

[2,2,2,1] => 6

[2,2,1,1,1] => 12

[2,1,1,1,1,1] => 120

[1,1,1,1,1,1,1] => 5040

[8] => 1

[7,1] => 1

[6,2] => 1

[6,1,1] => 2

[5,3] => 1

[5,2,1] => 1

[5,1,1,1] => 6

[4,4] => 2

[4,3,1] => 1

[4,2,2] => 2

[4,2,1,1] => 2

[4,1,1,1,1] => 24

[3,3,2] => 2

[3,3,1,1] => 4

[3,2,2,1] => 2

[3,2,1,1,1] => 6

[3,1,1,1,1,1] => 120

[2,2,2,2] => 24

[2,2,2,1,1] => 12

[2,2,1,1,1,1] => 48

[2,1,1,1,1,1,1] => 720

[1,1,1,1,1,1,1,1] => 40320

[9] => 1

[8,1] => 1

[7,2] => 1

[7,1,1] => 2

[6,3] => 1

[6,2,1] => 1

[6,1,1,1] => 6

[5,4] => 1

[5,3,1] => 1

[5,2,2] => 2

[5,2,1,1] => 2

[5,1,1,1,1] => 24

[4,4,1] => 2

[4,3,2] => 1

[4,3,1,1] => 2

[4,2,2,1] => 2

[4,2,1,1,1] => 6

[4,1,1,1,1,1] => 120

[3,3,3] => 6

[3,3,2,1] => 2

[3,3,1,1,1] => 12

[3,2,2,2] => 6

[3,2,2,1,1] => 4

[3,2,1,1,1,1] => 24

[3,1,1,1,1,1,1] => 720

[2,2,2,2,1] => 24

[2,2,2,1,1,1] => 36

[2,2,1,1,1,1,1] => 240

[2,1,1,1,1,1,1,1] => 5040

[1,1,1,1,1,1,1,1,1] => 362880

[10] => 1

[9,1] => 1

[8,2] => 1

[8,1,1] => 2

[7,3] => 1

[7,2,1] => 1

>>> Load all 270 entries. <<<

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Description

The product of the factorials of the multiplicities of an integer partition.

Code

def statistic(la):
    return prod(factorial(p) for p in la.to_exp())

Created

Mar 07, 2017 at 09:36 by Martin Rubey

Updated

Mar 07, 2017 at 09:36 by Martin Rubey