A378236 - cp's OEIS frontend

A378236 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(n+2r+k,n)/(n+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	8
9	0
10	1
11	6
12	20
13	44
14	0
15	1
16	8
17	36
18	120
19	280
20	0
21	1
22	10
23	56
24	236
25	800
26	1936
27	0
28	1
29	12
30	80
31	400
32	1656
33	5696
34	14128
35	0
36	1
37	14
38	108
39	620
40	2960
41	12192
42	42416
43	107088
44	0
45	1
46	16
47	140
48	904
49	4840
50	22592
51	92960
52	326304
53	834912
54	0
55	1
56	18
57	176
58	1260
59	7440
60	38352
61	176800
62	727824
63	2572992
64	6652608
65	0

[1, 1, 0, 1, 2, 0, 1, 4, 8, 0, 1, 6, 20, 44, 0, 1, 8, 36, 120, 280, 0, 1, 10, 56, 236, 800, 1936, 0, 1, 12, 80, 400, 1656, 5696, 14128, 0, 1, 14, 108, 620, 2960, 12192, 42416, 107088, 0, 1, 16, 140, 904, 4840, 22592, 92960, 326304, 834912, 0, 1, 18, 176, 1260, 7440, 38352, 176800, 727824, 2572992, 6652608, 0]

cp's OEIS Frontend

A378236 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(n+2r+k,n)/(n+2r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378236 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(n+2*r+k,n)/(n+2*r+k) for k > 0.

Table of values

List of values

A378236 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(n+2r+k,n)/(n+2r+k) for k > 0.