A336709 - cp's OEIS frontend

A336709 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} (-2)^(n-j) * binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	-2
6	1
7	1
8	-1
9	2
10	1
11	1
12	0
13	-1
14	4
15	1
16	1
17	1
18	-1
19	5
20	-24
21	1
22	1
23	2
24	2
25	0
26	-3
27	48
28	1
29	1
30	3
31	8
32	5
33	2
34	-21
35	24
36	1
37	1
38	4
39	17
40	36
41	13
42	0
43	51
44	-464
45	1
46	1
47	5
48	29
49	109
50	177
51	36
52	-5
53	41
54	1376
55	1
56	1
57	6
58	44
59	240
60	766
61	922
62	104
63	0
64	-391
65	-704

[1, 1, 1, 1, 1, -2, 1, 1, -1, 2, 1, 1, 0, -1, 4, 1, 1, 1, -1, 5, -24, 1, 1, 2, 2, 0, -3, 48, 1, 1, 3, 8, 5, 2, -21, 24, 1, 1, 4, 17, 36, 13, 0, 51, -464, 1, 1, 5, 29, 109, 177, 36, -5, 41, 1376, 1, 1, 6, 44, 240, 766, 922, 104, 0, -391, -704]

cp's OEIS Frontend

A336709 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} (-2)^(n-j) * binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0.

Table of values

List of values