A378240 - cp's OEIS frontend

A378240 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(3n+3r+k,n)/(3n+3r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	4
8	18
9	0
10	1
11	6
12	40
13	234
14	0
15	1
16	8
17	66
18	540
19	3570
20	0
21	1
22	10
23	96
24	926
25	8400
26	59586
27	0
28	1
29	12
30	130
31	1400
32	14706
33	141876
34	1053570
35	0
36	1
37	14
38	168
39	1970
40	22720
41	251622
42	2528760
43	19392490
44	0
45	1
46	16
47	210
48	2644
49	32690
50	394152
51	4524786
52	46815116
53	367677090
54	0

[1, 1, 0, 1, 2, 0, 1, 4, 18, 0, 1, 6, 40, 234, 0, 1, 8, 66, 540, 3570, 0, 1, 10, 96, 926, 8400, 59586, 0, 1, 12, 130, 1400, 14706, 141876, 1053570, 0, 1, 14, 168, 1970, 22720, 251622, 2528760, 19392490, 0, 1, 16, 210, 2644, 32690, 394152, 4524786, 46815116, 367677090, 0]

cp's OEIS Frontend

A378240 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(3n+3r+k,n)/(3n+3r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378240 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(3*n+3*r+k,n)/(3*n+3*r+k) for k > 0.

Table of values

List of values

A378240 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(3n+3r+k,n)/(3n+3r+k) for k > 0.