A379821 - cp's OEIS frontend

A379821 Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} (j!)^2 * 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	5
13	2
14	0
15	0
16	6
17	14
18	14
19	6
20	0
21	0
22	24
23	50
24	76
25	50
26	24
27	0
28	0
29	120
30	224
31	360
32	360
33	224
34	120
35	0
36	0
37	720
38	1216
39	1908
40	2392
41	1908
42	1216
43	720
44	0
45	0
46	5040
47	7776
48	11628
49	15664
50	15664
51	11628
52	7776
53	5040
54	0

[1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 5, 2, 0, 0, 6, 14, 14, 6, 0, 0, 24, 50, 76, 50, 24, 0, 0, 120, 224, 360, 360, 224, 120, 0, 0, 720, 1216, 1908, 2392, 1908, 1216, 720, 0, 0, 5040, 7776, 11628, 15664, 15664, 11628, 7776, 5040, 0]

cp's OEIS Frontend

A379821 Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} (j!)^2 * Stirling1(n, j) * Stirling1(k, j).

Table of values

List of values