A262169 - cp's OEIS frontend

A262169 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 7.

n	a(n)
0	1
1	1
2	2
3	5
4	20
5	87
6	522
7	3271
8	26167
9	214946
10	2148500
11	21869553
12	262040897
13	3184440794
14	44442180413
15	627992981034
16	9996086297542
17	161044694650665
18	2877551846402242
19	52059368659632095
20	1031291013069584902
21	20699996793232418643
22	450130761784158558067

[1, 1, 2, 5, 20, 87, 522, 3271, 26167, 214946, 2148500, 21869553, 262040897, 3184440794, 44442180413, 627992981034, 9996086297542, 161044694650665, 2877551846402242, 52059368659632095, 1031291013069584902, 20699996793232418643, 450130761784158558067]

cp's OEIS Frontend

A262169 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 7.

Table of values

List of values