A378239 - cp's OEIS frontend

A378239 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2n+2r+k,n)/(2n+2r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	4
8	12
9	0
10	1
11	6
12	28
13	100
14	0
15	1
16	8
17	48
18	248
19	968
20	0
21	1
22	10
23	72
24	452
25	2480
26	10208
27	0
28	1
29	12
30	100
31	720
32	4680
33	26688
34	113792
35	0
36	1
37	14
38	132
39	1060
40	7728
41	51504
42	301648
43	1318832
44	0
45	1
46	16
47	168
48	1480
49	11800
50	87104
51	591312
52	3531424
53	15732064
54	0

[1, 1, 0, 1, 2, 0, 1, 4, 12, 0, 1, 6, 28, 100, 0, 1, 8, 48, 248, 968, 0, 1, 10, 72, 452, 2480, 10208, 0, 1, 12, 100, 720, 4680, 26688, 113792, 0, 1, 14, 132, 1060, 7728, 51504, 301648, 1318832, 0, 1, 16, 168, 1480, 11800, 87104, 591312, 3531424, 15732064, 0]

cp's OEIS Frontend

A378239 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2n+2r+k,n)/(2n+2r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378239 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2*n+2*r+k,n)/(2*n+2*r+k) for k > 0.

Table of values

List of values

A378239 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2n+2r+k,n)/(2n+2r+k) for k > 0.