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Identifier

St001247: Integer partitions ⟶ ℤ

Values

[1] => 1

[2] => 0

[1,1] => 2

[3] => 1

[2,1] => 1

[1,1,1] => 3

[4] => 1

[3,1] => 2

[2,2] => 0

[2,1,1] => 2

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

[5] => 0

[4,1] => 2

[3,2] => 1

[3,1,1] => 3

[2,2,1] => 1

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

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

[6] => 1

[5,1] => 1

[4,2] => 1

[4,1,1] => 3

[3,3] => 2

[3,2,1] => 2

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

[2,2,2] => 0

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

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

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

[7] => 1

[6,1] => 2

[5,2] => 0

[5,1,1] => 2

[4,3] => 2

[4,2,1] => 2

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

[3,3,1] => 3

[3,2,2] => 1

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

[3,1,1,1,1] => 5

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

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

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

[1,1,1,1,1,1,1] => 7

[8] => 0

[7,1] => 2

[6,2] => 1

[6,1,1] => 3

[5,3] => 1

[5,2,1] => 1

[5,1,1,1] => 3

[4,4] => 2

[4,3,1] => 3

[4,2,2] => 1

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

[4,1,1,1,1] => 5

[3,3,2] => 2

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

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

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

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

[2,2,2,2] => 0

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

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

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

[1,1,1,1,1,1,1,1] => 8

[9] => 1

[8,1] => 1

[7,2] => 1

[7,1,1] => 3

[6,3] => 2

[6,2,1] => 2

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

[5,4] => 1

[5,3,1] => 2

[5,2,2] => 0

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

[5,1,1,1,1] => 4

[4,4,1] => 3

[4,3,2] => 2

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

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

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

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

[3,3,3] => 3

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

[3,3,1,1,1] => 5

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

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

[3,2,1,1,1,1] => 5

[3,1,1,1,1,1,1] => 7

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

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

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

[2,1,1,1,1,1,1,1] => 7

[1,1,1,1,1,1,1,1,1] => 9

[10] => 1

[9,1] => 2

[8,2] => 0

[8,1,1] => 2

[7,3] => 2

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Description

The number of parts of a partition that are not congruent 2 modulo 3.

Code

def statistic(L):
    L = list(L)
    return sum(1 for i in L if (i%3)!= 2)

Created

Sep 10, 2018 at 09:54 by Christian Stump

Updated

Sep 10, 2018 at 09:54 by Christian Stump