A262124 - cp's OEIS frontend

A262124 Number A(n,k) of permutations p of [n] such that the up-down signature of 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	1
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	1
13	2
14	0
15	1
16	1
17	1
18	3
19	5
20	0
21	1
22	1
23	1
24	3
25	8
26	16
27	0
28	1
29	1
30	1
31	3
32	9
33	40
34	61
35	0
36	1
37	1
38	1
39	3
40	9
41	44
42	162
43	272
44	0
45	1
46	1
47	1
48	3
49	9
50	45
51	219
52	1134
53	1385
54	0
55	1
56	1
57	1
58	3
59	9
60	45
61	224
62	1445
63	6128
64	7936
65	0
66	1
67	1
68	1
69	3
70	9
71	45
72	225
73	1568
74	9985
75	55152
76	50521
77	0

[1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 3, 5, 0, 1, 1, 1, 3, 8, 16, 0, 1, 1, 1, 3, 9, 40, 61, 0, 1, 1, 1, 3, 9, 44, 162, 272, 0, 1, 1, 1, 3, 9, 45, 219, 1134, 1385, 0, 1, 1, 1, 3, 9, 45, 224, 1445, 6128, 7936, 0, 1, 1, 1, 3, 9, 45, 225, 1568, 9985, 55152, 50521, 0]

cp's OEIS Frontend

A262124 Number A(n,k) of permutations p of [n] such that the up-down signature of 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