A362834 - cp's OEIS frontend

A362834 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^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	6
19	20
20	0
21	1
22	0
23	8
24	9
25	64
26	90
27	0
28	1
29	0
30	10
31	12
32	132
33	300
34	594
35	0
36	1
37	0
38	12
39	15
40	224
41	630
42	2568
43	4200
44	0
45	1
46	0
47	14
48	18
49	340
50	1080
51	6642
52	20160
53	34544
54	0
55	1
56	0
57	16
58	21
59	480
60	1650
61	13536
62	55440
63	193856
64	316008
65	0

[1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 4, 3, 0, 1, 0, 6, 6, 20, 0, 1, 0, 8, 9, 64, 90, 0, 1, 0, 10, 12, 132, 300, 594, 0, 1, 0, 12, 15, 224, 630, 2568, 4200, 0, 1, 0, 14, 18, 340, 1080, 6642, 20160, 34544, 0, 1, 0, 16, 21, 480, 1650, 13536, 55440, 193856, 316008, 0]

cp's OEIS Frontend

A362834 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^j * Stirling1(n-j,j)/(n-j)!.

Table of values

List of values