A320978 - cp's OEIS frontend

A320978 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of four.

n	a(n)
4	0
5	1
6	5
7	123
8	778
9	14126
10	111811
11	1957924
12	18846572
13	342736488
14	3904186779
15	75626480215
16	996651530998
17	20739117286767
18	310506509296055
19	6952893022274589
20	116561453850733664
21	2805243168612301480
22	52046467944203248643
23	1342921799608903158968

[0, 1, 5, 123, 778, 14126, 111811, 1957924, 18846572, 342736488, 3904186779, 75626480215, 996651530998, 20739117286767, 310506509296055, 6952893022274589, 116561453850733664, 2805243168612301480, 52046467944203248643, 1342921799608903158968]

cp's OEIS Frontend

A320978 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of four.

Table of values

List of values