A378238 - cp's OEIS frontend

A378238 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+r+k,n)/(3n+r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	4
8	14
9	0
10	1
11	6
12	32
13	134
14	0
15	1
16	8
17	54
18	324
19	1482
20	0
21	1
22	10
23	80
24	578
25	3696
26	17818
27	0
28	1
29	12
30	110
31	904
32	6810
33	45316
34	226214
35	0
36	1
37	14
38	144
39	1310
40	11008
41	85278
42	583152
43	2984206
44	0
45	1
46	16
47	182
48	1804
49	16490
50	140936
51	1113854
52	7769348
53	40503890
54	0

[1, 1, 0, 1, 2, 0, 1, 4, 14, 0, 1, 6, 32, 134, 0, 1, 8, 54, 324, 1482, 0, 1, 10, 80, 578, 3696, 17818, 0, 1, 12, 110, 904, 6810, 45316, 226214, 0, 1, 14, 144, 1310, 11008, 85278, 583152, 2984206, 0, 1, 16, 182, 1804, 16490, 140936, 1113854, 7769348, 40503890, 0]

cp's OEIS Frontend

A378238 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+r+k,n)/(3n+r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378238 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+r+k,n)/(3*n+r+k) for k > 0.

Table of values

List of values

A378238 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+r+k,n)/(3n+r+k) for k > 0.