A262125 - cp's OEIS frontend

A262125 Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	0
6	0
7	2
8	1
9	0
10	0
11	5
12	3
13	1
14	0
15	0
16	16
17	24
18	4
19	1
20	0
21	0
22	61
23	101
24	57
25	5
26	1
27	0
28	0
29	272
30	862
31	311
32	123
33	6
34	1
35	0
36	0
37	1385
38	4743
39	3857
40	778
41	254
42	7
43	1
44	0
45	0
46	7936
47	47216
48	27589
49	14126
50	1835
51	514
52	8
53	1
54	0
55	0
56	50521
57	322039
58	355751
59	111811
60	47673
61	4189
62	1031
63	9
64	1
65	0

[1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 5, 3, 1, 0, 0, 16, 24, 4, 1, 0, 0, 61, 101, 57, 5, 1, 0, 0, 272, 862, 311, 123, 6, 1, 0, 0, 1385, 4743, 3857, 778, 254, 7, 1, 0, 0, 7936, 47216, 27589, 14126, 1835, 514, 8, 1, 0, 0, 50521, 322039, 355751, 111811, 47673, 4189, 1031, 9, 1, 0]

cp's OEIS Frontend

A262125 Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values