A350594 - cp's OEIS frontend

A350594 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2n} (-1)^(n+j) binomial(2*n,j)^k.

n	a(n)
0	1
1	1
2	-1
3	1
4	0
5	1
6	1
7	2
8	0
9	-1
10	1
11	6
12	6
13	0
14	1
15	1
16	14
17	90
18	20
19	0
20	-1
21	1
22	30
23	786
24	1680
25	70
26	0
27	1
28	1
29	62
30	5730
31	61340
32	34650
33	252
34	0
35	-1
36	1
37	126
38	38466
39	1696800
40	5562130
41	756756
42	924
43	0
44	1
45	1
46	254
47	247170
48	41312060
49	613591650
50	549676764
51	17153136
52	3432
53	0
54	-1

[1, 1, -1, 1, 0, 1, 1, 2, 0, -1, 1, 6, 6, 0, 1, 1, 14, 90, 20, 0, -1, 1, 30, 786, 1680, 70, 0, 1, 1, 62, 5730, 61340, 34650, 252, 0, -1, 1, 126, 38466, 1696800, 5562130, 756756, 924, 0, 1, 1, 254, 247170, 41312060, 613591650, 549676764, 17153136, 3432, 0, -1]

cp's OEIS Frontend

A350594 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2n} (-1)^(n+j) binomial(2*n,j)^k.

Table of values

List of values

cp's OEIS Frontend

A350594 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2*n} (-1)^(n+j) * binomial(2*n,j)^k.

Table of values

List of values

A350594 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2n} (-1)^(n+j) binomial(2*n,j)^k.