A378321 - cp's OEIS frontend

A378321 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-3r+k,r) * binomial(r,n-r)/(3n-3r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	3
14	0
15	1
16	4
17	6
18	8
19	6
20	0
21	1
22	5
23	10
24	16
25	19
26	16
27	0
28	1
29	6
30	15
31	28
32	42
33	50
34	42
35	0
36	1
37	7
38	21
39	45
40	79
41	114
42	137
43	114
44	0
45	1
46	8
47	28
48	68
49	135
50	224
51	322
52	380
53	322
54	0
55	1
56	9
57	36
58	98
59	216
60	401
61	652
62	918
63	1088
64	918
65	0
66	1
67	10
68	45
69	136
70	329
71	672
72	1205
73	1912
74	2673
75	3152
76	2673
77	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 3, 0, 1, 4, 6, 8, 6, 0, 1, 5, 10, 16, 19, 16, 0, 1, 6, 15, 28, 42, 50, 42, 0, 1, 7, 21, 45, 79, 114, 137, 114, 0, 1, 8, 28, 68, 135, 224, 322, 380, 322, 0, 1, 9, 36, 98, 216, 401, 652, 918, 1088, 918, 0, 1, 10, 45, 136, 329, 672, 1205, 1912, 2673, 3152, 2673, 0]

cp's OEIS Frontend

A378321 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-3r+k,r) * binomial(r,n-r)/(3n-3r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378321 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-3*r+k,r) * binomial(r,n-r)/(3*n-3*r+k) for k > 0.

Table of values

List of values

A378321 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-3r+k,r) * binomial(r,n-r)/(3n-3r+k) for k > 0.