A336707 - cp's OEIS frontend

A336707 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} 2^(n-j) * 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	2
6	1
7	1
8	3
9	6
10	1
11	1
12	4
13	11
14	20
15	1
16	1
17	5
18	19
19	45
20	72
21	1
22	1
23	6
24	30
25	100
26	197
27	272
28	1
29	1
30	7
31	44
32	201
33	562
34	903
35	1064
36	1
37	1
38	8
39	61
40	364
41	1445
42	3304
43	4279
44	4272
45	1
46	1
47	9
48	81
49	605
50	3249
51	10900
52	20071
53	20793
54	17504
55	1
56	1
57	10
58	104
59	940
60	6502
61	30526
62	85128
63	124996
64	103049
65	72896

[1, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 1, 4, 11, 20, 1, 1, 5, 19, 45, 72, 1, 1, 6, 30, 100, 197, 272, 1, 1, 7, 44, 201, 562, 903, 1064, 1, 1, 8, 61, 364, 1445, 3304, 4279, 4272, 1, 1, 9, 81, 605, 3249, 10900, 20071, 20793, 17504, 1, 1, 10, 104, 940, 6502, 30526, 85128, 124996, 103049, 72896]

cp's OEIS Frontend

A336707 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} 2^(n-j) * binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0.

Table of values

List of values