A362837 - cp's OEIS frontend

A362837 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = (-1)^n * n! * Sum_{j=0..floor(n/2)} k^(n-j) * Stirling1(n-j,j)/(n-j)!.

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	2
9	0
10	1
11	0
12	4
13	3
14	0
15	1
16	0
17	6
18	12
19	20
20	0
21	1
22	0
23	8
24	27
25	112
26	90
27	0
28	1
29	0
30	10
31	48
32	324
33	960
34	594
35	0
36	1
37	0
38	12
39	75
40	704
41	4050
42	10848
43	4200
44	0
45	1
46	0
47	14
48	108
49	1300
50	11520
51	64962
52	141120
53	34544
54	0
55	1
56	0
57	16
58	147
59	2160
60	26250
61	239616
62	1224720
63	2122496
64	316008
65	0

[1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 4, 3, 0, 1, 0, 6, 12, 20, 0, 1, 0, 8, 27, 112, 90, 0, 1, 0, 10, 48, 324, 960, 594, 0, 1, 0, 12, 75, 704, 4050, 10848, 4200, 0, 1, 0, 14, 108, 1300, 11520, 64962, 141120, 34544, 0, 1, 0, 16, 147, 2160, 26250, 239616, 1224720, 2122496, 316008, 0]

cp's OEIS Frontend

A362837 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = (-1)^n * n! * Sum_{j=0..floor(n/2)} k^(n-j) * Stirling1(n-j,j)/(n-j)!.

Table of values

List of values