Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001482
Mapping
St001482: Permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1] => 1
[1,2] => 1
[2,1] => 2
[1,2,3] => 3
[1,3,2] => 4
[2,1,3] => 6
[2,3,1] => 10
[3,1,2] => 12
[3,2,1] => 15
[1,2,3,4] => 18
[1,2,4,3] => 21
[1,3,2,4] => 24
[1,3,4,2] => 32
[1,4,2,3] => 35
[1,4,3,2] => 40
[2,1,3,4] => 36
[2,1,4,3] => 42
[2,3,1,4] => 60
[2,3,4,1] => 90
[2,4,1,3] => 84
[2,4,3,1] => 108
[3,1,2,4] => 72
[3,1,4,2] => 96
[3,2,1,4] => 90
[3,2,4,1] => 135
[3,4,1,2] => 168
[3,4,2,1] => 189
[4,1,2,3] => 140
[4,1,3,2] => 160
[4,2,1,3] => 168
[4,2,3,1] => 216
[4,3,1,2] => 224
[4,3,2,1] => 252
[1,2,3,4,5] => 180
[1,2,3,5,4] => 198
[1,2,4,3,5] => 210
[1,2,4,5,3] => 252
[1,2,5,3,4] => 264
[1,2,5,4,3] => 288
[1,3,2,4,5] => 240
[1,3,2,5,4] => 264
[1,3,4,2,5] => 320
[1,3,4,5,2] => 416
[1,3,5,2,4] => 396
[1,3,5,4,2] => 468
[1,4,2,3,5] => 350
[1,4,2,5,3] => 420
[1,4,3,2,5] => 400
[1,4,3,5,2] => 520
[1,4,5,2,3] => 600
Description
The product of the prefix sums of a permutation. This is, given a permutation $\pi$ of length $n$, $$ \prod_{i=1}^{n-1}(\pi(1)+\dots+\pi(i)).$$