A262129 - cp's OEIS frontend

A262129 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 4.

n	a(n)
0	1
1	1
2	1
3	3
4	9
5	45
6	224
7	1568
8	10763
9	96867
10	840122
11	9241342
12	96502325
13	1254530225
14	15299599194
15	229493987910
16	3199636182647
17	54393815104999
18	853245337600170
19	16211661414403230
20	282567703716447041
21	5933921778045387861
22	113771512251159523658

[1, 1, 1, 3, 9, 45, 224, 1568, 10763, 96867, 840122, 9241342, 96502325, 1254530225, 15299599194, 229493987910, 3199636182647, 54393815104999, 853245337600170, 16211661414403230, 282567703716447041, 5933921778045387861, 113771512251159523658]

cp's OEIS Frontend

A262129 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 4.

Table of values

List of values