A262163 - cp's OEIS frontend

A262163 Number A(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	2
18	4
19	5
20	0
21	1
22	1
23	2
24	5
25	16
26	16
27	0
28	1
29	1
30	2
31	5
32	19
33	54
34	61
35	0
36	1
37	1
38	2
39	5
40	20
41	82
42	324
43	272
44	0
45	1
46	1
47	2
48	5
49	20
50	86
51	454
52	1532
53	1385
54	0
55	1
56	1
57	2
58	5
59	20
60	87
61	516
62	2795
63	12256
64	7936
65	0
66	1
67	1
68	2
69	5
70	20
71	87
72	521
73	3135
74	20346
75	74512
76	50521
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 4, 5, 0, 1, 1, 2, 5, 16, 16, 0, 1, 1, 2, 5, 19, 54, 61, 0, 1, 1, 2, 5, 20, 82, 324, 272, 0, 1, 1, 2, 5, 20, 86, 454, 1532, 1385, 0, 1, 1, 2, 5, 20, 87, 516, 2795, 12256, 7936, 0, 1, 1, 2, 5, 20, 87, 521, 3135, 20346, 74512, 50521, 0]

cp's OEIS Frontend

A262163 Number A(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values