A379820 - cp's OEIS frontend

A379820 Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	2
12	3
13	2
14	0
15	0
16	6
17	8
18	8
19	6
20	0
21	0
22	24
23	28
24	28
25	28
26	24
27	0
28	0
29	120
30	124
31	114
32	114
33	124
34	120
35	0
36	0
37	720
38	668
39	558
40	518
41	558
42	668
43	720
44	0
45	0
46	5040
47	4248
48	3234
49	2744
50	2744
51	3234
52	4248
53	5040
54	0
55	0
56	40320
57	31176
58	21768
59	16888
60	15446
61	16888
62	21768
63	31176
64	40320
65	0

[1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 3, 2, 0, 0, 6, 8, 8, 6, 0, 0, 24, 28, 28, 28, 24, 0, 0, 120, 124, 114, 114, 124, 120, 0, 0, 720, 668, 558, 518, 558, 668, 720, 0, 0, 5040, 4248, 3234, 2744, 2744, 3234, 4248, 5040, 0, 0, 40320, 31176, 21768, 16888, 15446, 16888, 21768, 31176, 40320, 0]

cp's OEIS Frontend

A379820 Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).

Table of values

List of values