A361830 - cp's OEIS frontend

A361830 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2j,j) binomial(k*j,n-j).

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	6
6	1
7	2
8	8
9	20
10	1
11	2
12	10
13	32
14	70
15	1
16	2
17	12
18	46
19	136
20	252
21	1
22	2
23	14
24	62
25	226
26	592
27	924
28	1
29	2
30	16
31	80
32	342
33	1136
34	2624
35	3432
36	1
37	2
38	18
39	100
40	486
41	1932
42	5810
43	11776
44	12870
45	1
46	2
47	20
48	122
49	660
50	3030
51	11094
52	30080
53	53344
54	48620

[1, 1, 2, 1, 2, 6, 1, 2, 8, 20, 1, 2, 10, 32, 70, 1, 2, 12, 46, 136, 252, 1, 2, 14, 62, 226, 592, 924, 1, 2, 16, 80, 342, 1136, 2624, 3432, 1, 2, 18, 100, 486, 1932, 5810, 11776, 12870, 1, 2, 20, 122, 660, 3030, 11094, 30080, 53344, 48620]

cp's OEIS Frontend

A361830 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2j,j) binomial(k*j,n-j).

Table of values

List of values

cp's OEIS Frontend

A361830 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2*j,j) * binomial(k*j,n-j).

Table of values

List of values

A361830 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2j,j) binomial(k*j,n-j).