A378323 - cp's OEIS frontend

A378323 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(3r+k,r) * binomial(r,n-r)/(3*r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	4
9	0
10	1
11	3
12	9
13	18
14	0
15	1
16	4
17	15
18	44
19	94
20	0
21	1
22	5
23	22
24	79
25	240
26	529
27	0
28	1
29	6
30	30
31	124
32	450
33	1390
34	3135
35	0
36	1
37	7
38	39
39	180
40	737
41	2685
42	8404
43	19270
44	0
45	1
46	8
47	49
48	248
49	1115
50	4532
51	16585
52	52426
53	121732
54	0
55	1
56	9
57	60
58	329
59	1599
60	7066
61	28624
62	105147
63	334964
64	785496
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 9, 18, 0, 1, 4, 15, 44, 94, 0, 1, 5, 22, 79, 240, 529, 0, 1, 6, 30, 124, 450, 1390, 3135, 0, 1, 7, 39, 180, 737, 2685, 8404, 19270, 0, 1, 8, 49, 248, 1115, 4532, 16585, 52426, 121732, 0, 1, 9, 60, 329, 1599, 7066, 28624, 105147, 334964, 785496, 0]

cp's OEIS Frontend

A378323 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(3r+k,r) * binomial(r,n-r)/(3*r+k) for k > 0.

Table of values

List of values