A378291 - cp's OEIS frontend

A378291 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(3n-2r+k,r) * binomial(r,n-r)/(3n-2r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	5
13	6
14	0
15	1
16	4
17	9
18	16
19	20
20	0
21	1
22	5
23	14
24	31
25	56
26	72
27	0
28	1
29	6
30	20
31	52
32	114
33	208
34	273
35	0
36	1
37	7
38	27
39	80
40	201
41	438
42	806
43	1073
44	0
45	1
46	8
47	35
48	116
49	325
50	800
51	1739
52	3220
53	4333
54	0
55	1
56	9
57	44
58	161
59	495
60	1341
61	3260
62	7077
63	13168
64	17869
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 5, 6, 0, 1, 4, 9, 16, 20, 0, 1, 5, 14, 31, 56, 72, 0, 1, 6, 20, 52, 114, 208, 273, 0, 1, 7, 27, 80, 201, 438, 806, 1073, 0, 1, 8, 35, 116, 325, 800, 1739, 3220, 4333, 0, 1, 9, 44, 161, 495, 1341, 3260, 7077, 13168, 17869, 0]

cp's OEIS Frontend

A378291 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(3n-2r+k,r) * binomial(r,n-r)/(3n-2r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378291 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(3*n-2*r+k,r) * binomial(r,n-r)/(3*n-2*r+k) for k > 0.

Table of values

List of values

A378291 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(3n-2r+k,r) * binomial(r,n-r)/(3n-2r+k) for k > 0.