A293019 - cp's OEIS frontend

A293019 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - k! * Sum_{i=0..n-1} 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	0
6	1
7	0
8	-1
9	1
10	1
11	0
12	-2
13	2
14	1
15	1
16	0
17	0
18	-6
19	9
20	-2
21	1
22	0
23	0
24	-6
25	0
26	4
27	-9
28	1
29	0
30	0
31	0
32	-24
33	100
34	-95
35	-9
36	1
37	0
38	0
39	0
40	-24
41	-60
42	570
43	-414
44	50
45	1
46	0
47	0
48	0
49	0
50	-120
51	240
52	798
53	49
54	267
55	1
56	0
57	0
58	0
59	0
60	-120
61	-360
62	4830
63	-15176
64	10088
65	413
66	1
67	0
68	0

[1, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, 0, -2, 2, 1, 1, 0, 0, -6, 9, -2, 1, 0, 0, -6, 0, 4, -9, 1, 0, 0, 0, -24, 100, -95, -9, 1, 0, 0, 0, -24, -60, 570, -414, 50, 1, 0, 0, 0, 0, -120, 240, 798, 49, 267, 1, 0, 0, 0, 0, -120, -360, 4830, -15176, 10088, 413, 1, 0, 0]

cp's OEIS Frontend

A293019 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.

Table of values

List of values