A378237 - cp's OEIS frontend

A378237 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+3r+k,n)/(n+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	10
9	0
10	1
11	6
12	24
13	74
14	0
15	1
16	8
17	42
18	188
19	642
20	0
21	1
22	10
23	64
24	350
25	1680
26	6082
27	0
28	1
29	12
30	90
31	568
32	3234
33	16212
34	60970
35	0
36	1
37	14
38	120
39	850
40	5440
41	31878
42	164584
43	635818
44	0
45	1
46	16
47	154
48	1204
49	8450
50	54888
51	328426
52	1732172
53	6826690
54	0
55	1
56	18
57	192
58	1638
59	12432
60	87402
61	574848
62	3494142
63	18728352
64	74958914
65	0

[1, 1, 0, 1, 2, 0, 1, 4, 10, 0, 1, 6, 24, 74, 0, 1, 8, 42, 188, 642, 0, 1, 10, 64, 350, 1680, 6082, 0, 1, 12, 90, 568, 3234, 16212, 60970, 0, 1, 14, 120, 850, 5440, 31878, 164584, 635818, 0, 1, 16, 154, 1204, 8450, 54888, 328426, 1732172, 6826690, 0, 1, 18, 192, 1638, 12432, 87402, 574848, 3494142, 18728352, 74958914, 0]

cp's OEIS Frontend

A378237 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+3r+k,n)/(n+3r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378237 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+3*r+k,n)/(n+3*r+k) for k > 0.

Table of values

List of values

A378237 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+3r+k,n)/(n+3r+k) for k > 0.