A262166 - cp's OEIS frontend

A262166 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 4.

n	a(n)
0	1
1	1
2	2
3	5
4	20
5	86
6	516
7	3135
8	25080
9	196468
10	1964680
11	18827225
12	225926700
13	2559350288
14	35830904032
15	468385940355
16	7494175045680
17	111029569712844
18	1998532254831192
19	33092842524631733
20	661856850492634660
21	12113055891685809704
22	266487229617087813488

[1, 1, 2, 5, 20, 86, 516, 3135, 25080, 196468, 1964680, 18827225, 225926700, 2559350288, 35830904032, 468385940355, 7494175045680, 111029569712844, 1998532254831192, 33092842524631733, 661856850492634660, 12113055891685809704, 266487229617087813488]

cp's OEIS Frontend

A262166 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 4.

Table of values

List of values