A378318 - cp's OEIS frontend

A378318 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(3r+k,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	6
9	0
10	1
11	6
12	16
13	30
14	0
15	1
16	8
17	30
18	84
19	170
20	0
21	1
22	10
23	48
24	170
25	496
26	1050
27	0
28	1
29	12
30	70
31	296
32	1050
33	3140
34	6846
35	0
36	1
37	14
38	96
39	470
40	1920
41	6846
42	20832
43	46374
44	0
45	1
46	16
47	126
48	700
49	3210
50	12936
51	46374
52	142932
53	323154
54	0
55	1
56	18
57	160
58	994
59	5040
60	22402
61	89712
62	323154
63	1005856
64	2301618
65	0

[1, 1, 0, 1, 2, 0, 1, 4, 6, 0, 1, 6, 16, 30, 0, 1, 8, 30, 84, 170, 0, 1, 10, 48, 170, 496, 1050, 0, 1, 12, 70, 296, 1050, 3140, 6846, 0, 1, 14, 96, 470, 1920, 6846, 20832, 46374, 0, 1, 16, 126, 700, 3210, 12936, 46374, 142932, 323154, 0, 1, 18, 160, 994, 5040, 22402, 89712, 323154, 1005856, 2301618, 0]

cp's OEIS Frontend

A378318 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(3r+k,n)/(3r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378318 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*r+k,n)/(3*r+k) for k > 0.

Table of values

List of values

A378318 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(3r+k,n)/(3r+k) for k > 0.