A322699 - cp's OEIS frontend

A322699 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + Sum_{j=0..k} binomial(2k,2j)(n+1)^(k-j)n^j).

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	8
8	2
9	0
10	0
11	49
12	24
13	3
14	0
15	0
16	288
17	242
18	48
19	4
20	0
21	0
22	1681
23	2400
24	675
25	80
26	5
27	0
28	0
29	9800
30	23762
31	9408
32	1444
33	120
34	6
35	0
36	0
37	57121
38	235224
39	131043
40	25920
41	2645
42	168
43	7
44	0
45	0
46	332928
47	2328482
48	1825200
49	465124
50	58080
51	4374
52	224
53	8
54	0

[0, 0, 0, 0, 1, 0, 0, 8, 2, 0, 0, 49, 24, 3, 0, 0, 288, 242, 48, 4, 0, 0, 1681, 2400, 675, 80, 5, 0, 0, 9800, 23762, 9408, 1444, 120, 6, 0, 0, 57121, 235224, 131043, 25920, 2645, 168, 7, 0, 0, 332928, 2328482, 1825200, 465124, 58080, 4374, 224, 8, 0]

cp's OEIS Frontend

A322699 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + Sum_{j=0..k} binomial(2k,2j)(n+1)^(k-j)n^j).

Table of values

List of values

cp's OEIS Frontend

A322699 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + Sum_{j=0..k} binomial(2*k,2*j)*(n+1)^(k-j)*n^j).

Table of values

List of values

A322699 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + Sum_{j=0..k} binomial(2k,2j)(n+1)^(k-j)n^j).