A378290 - cp's OEIS frontend

A378290 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+2r+k,r) binomial(r,n-r)/(n+2*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	19
14	0
15	1
16	4
17	15
18	46
19	104
20	0
21	1
22	5
23	22
24	82
25	262
26	614
27	0
28	1
29	6
30	30
31	128
32	486
33	1588
34	3816
35	0
36	1
37	7
38	39
39	185
40	789
41	3027
42	10053
43	24595
44	0
45	1
46	8
47	49
48	254
49	1185
50	5052
51	19543
52	65686
53	162896
54	0
55	1
56	9
57	60
58	336
59	1689
60	7801
61	33290
62	129606
63	439658
64	1101922
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 9, 19, 0, 1, 4, 15, 46, 104, 0, 1, 5, 22, 82, 262, 614, 0, 1, 6, 30, 128, 486, 1588, 3816, 0, 1, 7, 39, 185, 789, 3027, 10053, 24595, 0, 1, 8, 49, 254, 1185, 5052, 19543, 65686, 162896, 0, 1, 9, 60, 336, 1689, 7801, 33290, 129606, 439658, 1101922, 0]

cp's OEIS Frontend

A378290 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+2r+k,r) binomial(r,n-r)/(n+2*r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378290 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+2*r+k,r) * binomial(r,n-r)/(n+2*r+k) for k > 0.

Table of values

List of values

A378290 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+2r+k,r) binomial(r,n-r)/(n+2*r+k) for k > 0.