Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001763
Mapping
St001763: 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]
 => 3
[2,1]
 => 8
[1,1,1]
 => 24
[4]
 => 16
[3,1]
 => 81
[2,2]
 => 96
[2,1,1]
 => 480
[1,1,1,1]
 => 2880
[5]
 => 125
[4,1]
 => 1024
[3,2]
 => 1296
[3,1,1]
 => 9720
[2,2,1]
 => 11520
[2,1,1,1]
 => 100800
[1,1,1,1,1]
 => 1008000
[6]
 => 1296
[5,1]
 => 15625
[4,2]
 => 20480
[4,1,1]
 => 215040
[3,3]
 => 21870
[3,2,1]
 => 272160
[3,1,1,1]
 => 3265920
[2,2,2]
 => 322560
[2,2,1,1]
 => 3870720
[2,1,1,1,1]
 => 52254720
[1,1,1,1,1,1]
 => 783820800
[7]
 => 16807
[6,1]
 => 279936
[5,2]
 => 375000
[5,1,1]
 => 5250000
[4,3]
 => 414720
[4,2,1]
 => 6881280
[4,1,1,1]
 => 108380160
[3,3,1]
 => 7348320
[3,2,2]
 => 8709120
[3,2,1,1]
 => 137168640
[2,2,2,1]
 => 162570240
[8]
 => 262144
[7,1]
 => 5764801
[6,2]
 => 7838208
[6,1,1]
 => 141087744
[5,3]
 => 8859375
[5,2,1]
 => 189000000
[4,4]
 => 9175040
[4,3,1]
 => 209018880
[4,2,2]
 => 247726080
[3,3,2]
 => 264539520
Description
The Hurwitz number of an integer partition. See [eq.(9),pg.21, 1].