A336706 - cp's OEIS frontend

A336706 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	3
13	5
14	4
15	1
16	1
17	4
18	11
19	14
20	9
21	1
22	1
23	5
24	20
25	45
26	42
27	21
28	1
29	1
30	6
31	32
32	113
33	197
34	132
35	51
36	1
37	1
38	7
39	47
40	234
41	688
42	903
43	429
44	127
45	1
46	1
47	8
48	65
49	424
50	1854
51	4404
52	4279
53	1430
54	323
55	1
56	1
57	9
58	86
59	699
60	4159
61	15490
62	29219
63	20793
64	4862
65	835

[1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 4, 1, 1, 4, 11, 14, 9, 1, 1, 5, 20, 45, 42, 21, 1, 1, 6, 32, 113, 197, 132, 51, 1, 1, 7, 47, 234, 688, 903, 429, 127, 1, 1, 8, 65, 424, 1854, 4404, 4279, 1430, 323, 1, 1, 9, 86, 699, 4159, 15490, 29219, 20793, 4862, 835]

cp's OEIS Frontend

A336706 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0.

Table of values

List of values