Your data matches 1 statistic following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St000275
Mapping
St000275: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 1
[1,1]
 => 1
[3]
 => 1
[2,1]
 => 4
[1,1,1]
 => 1
[4]
 => 1
[3,1]
 => 7
[2,2]
 => 4
[2,1,1]
 => 11
[1,1,1,1]
 => 1
[5]
 => 1
[4,1]
 => 11
[3,2]
 => 15
[3,1,1]
 => 32
[2,2,1]
 => 34
[2,1,1,1]
 => 26
[1,1,1,1,1]
 => 1
[6]
 => 1
[5,1]
 => 16
[4,2]
 => 26
[4,1,1]
 => 76
[3,3]
 => 15
[3,2,1]
 => 192
[3,1,1,1]
 => 122
[2,2,2]
 => 34
[2,2,1,1]
 => 180
[2,1,1,1,1]
 => 57
[1,1,1,1,1,1]
 => 1
[7]
 => 1
[6,1]
 => 22
[5,2]
 => 42
[5,1,1]
 => 156
[4,3]
 => 56
[4,2,1]
 => 474
[4,1,1,1]
 => 426
[3,3,1]
 => 267
[3,2,2]
 => 294
[3,2,1,1]
 => 1494
[3,1,1,1,1]
 => 423
[2,2,2,1]
 => 496
[2,2,1,1,1]
 => 768
[2,1,1,1,1,1]
 => 120
[1,1,1,1,1,1,1]
 => 1
[8]
 => 1
[7,1]
 => 29
[6,2]
 => 64
[6,1,1]
 => 288
[5,3]
 => 98
[5,2,1]
 => 1038
Description
Number of permutations whose sorted list of non zero multiplicities of the Lehmer code is the given partition.