A262165 - cp's OEIS frontend

A262165 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 3.

n	a(n)
0	1
1	1
2	2
3	5
4	19
5	82
6	454
7	2795
8	20346
9	162613
10	1469309
11	14424200
12	155842828
13	1812646171
14	22807141756
15	306480808871
16	4403059520043
17	67100946088054
18	1084001371054298
19	18469410744415367
20	331442882307143590
21	6242679740272435021
22	123215973021475320637

[1, 1, 2, 5, 19, 82, 454, 2795, 20346, 162613, 1469309, 14424200, 155842828, 1812646171, 22807141756, 306480808871, 4403059520043, 67100946088054, 1084001371054298, 18469410744415367, 331442882307143590, 6242679740272435021, 123215973021475320637]

cp's OEIS Frontend

A262165 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 3.

Table of values

List of values