A378289 - cp's OEIS frontend

A378289 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+k,r) * binomial(r,n-r)/(n+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	3
9	0
10	1
11	3
12	7
13	10
14	0
15	1
16	4
17	12
18	26
19	38
20	0
21	1
22	5
23	18
24	49
25	105
26	154
27	0
28	1
29	6
30	25
31	80
32	210
33	444
34	654
35	0
36	1
37	7
38	33
39	120
40	363
41	927
42	1944
43	2871
44	0
45	1
46	8
47	42
48	170
49	575
50	1672
51	4191
52	8734
53	12925
54	0
55	1
56	9
57	52
58	231
59	858
60	2761
61	7810
62	19305
63	40040
64	59345
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 3, 0, 1, 3, 7, 10, 0, 1, 4, 12, 26, 38, 0, 1, 5, 18, 49, 105, 154, 0, 1, 6, 25, 80, 210, 444, 654, 0, 1, 7, 33, 120, 363, 927, 1944, 2871, 0, 1, 8, 42, 170, 575, 1672, 4191, 8734, 12925, 0, 1, 9, 52, 231, 858, 2761, 7810, 19305, 40040, 59345, 0]

cp's OEIS Frontend

A378289 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+k,r) * binomial(r,n-r)/(n+r+k) for k > 0.

Table of values

List of values