A292948 - cp's OEIS frontend

A292948 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = (-1)^(k+1) * Sum_{i=0..n-1} (-1)^i * binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.

n	a(n)
0	1
1	1
2	-1
3	1
4	1
5	2
6	1
7	0
8	-1
9	-5
10	1
11	0
12	1
13	-2
14	15
15	1
16	0
17	0
18	-3
19	9
20	-52
21	1
22	0
23	0
24	1
25	9
26	-4
27	203
28	1
29	0
30	0
31	0
32	-4
33	-40
34	-95
35	-877
36	1
37	0
38	0
39	0
40	1
41	10
42	210
43	414
44	4140
45	1
46	0
47	0
48	0
49	0
50	-5
51	-10
52	-1176
53	49
54	-21147
55	1
56	0
57	0
58	0
59	0
60	1
61	15
62	-105
63	7273
64	-10088
65	115975
66	1
67	0
68	0

[1, 1, -1, 1, 1, 2, 1, 0, -1, -5, 1, 0, 1, -2, 15, 1, 0, 0, -3, 9, -52, 1, 0, 0, 1, 9, -4, 203, 1, 0, 0, 0, -4, -40, -95, -877, 1, 0, 0, 0, 1, 10, 210, 414, 4140, 1, 0, 0, 0, 0, -5, -10, -1176, 49, -21147, 1, 0, 0, 0, 0, 1, 15, -105, 7273, -10088, 115975, 1, 0, 0]

cp's OEIS Frontend

A292948 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = (-1)^(k+1) * Sum_{i=0..n-1} (-1)^i * binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.

Table of values

List of values