A362839 - cp's OEIS frontend

A362839 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} k^(n-j) * Stirling2(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	16
20	0
21	1
22	0
23	8
24	27
25	80
26	65
27	0
28	1
29	0
30	10
31	48
32	216
33	560
34	336
35	0
36	1
37	0
38	12
39	75
40	448
41	2025
42	4512
43	1897
44	0
45	1
46	0
47	14
48	108
49	800
50	5120
51	21708
52	40768
53	11824
54	0
55	1
56	0
57	16
58	147
59	1296
60	10625
61	67584
62	260253
63	407808
64	80145
65	0

[1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 4, 3, 0, 1, 0, 6, 12, 16, 0, 1, 0, 8, 27, 80, 65, 0, 1, 0, 10, 48, 216, 560, 336, 0, 1, 0, 12, 75, 448, 2025, 4512, 1897, 0, 1, 0, 14, 108, 800, 5120, 21708, 40768, 11824, 0, 1, 0, 16, 147, 1296, 10625, 67584, 260253, 407808, 80145, 0]

cp's OEIS Frontend

A362839 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} k^(n-j) * Stirling2(n-j,j)/(n-j)!.

Table of values

List of values