A361652 - cp's OEIS frontend

A361652 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^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	6
19	16
20	0
21	1
22	0
23	8
24	9
25	56
26	65
27	0
28	1
29	0
30	10
31	12
32	120
33	250
34	336
35	0
36	1
37	0
38	12
39	15
40	208
41	555
42	1812
43	1897
44	0
45	1
46	0
47	14
48	18
49	320
50	980
51	5148
52	12614
53	11824
54	0
55	1
56	0
57	16
58	21
59	456
60	1525
61	11064
62	39711
63	101040
64	80145
65	0

[1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 4, 3, 0, 1, 0, 6, 6, 16, 0, 1, 0, 8, 9, 56, 65, 0, 1, 0, 10, 12, 120, 250, 336, 0, 1, 0, 12, 15, 208, 555, 1812, 1897, 0, 1, 0, 14, 18, 320, 980, 5148, 12614, 11824, 0, 1, 0, 16, 21, 456, 1525, 11064, 39711, 101040, 80145, 0]

cp's OEIS Frontend

A361652 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^j * Stirling2(n-j,j)/(n-j)!.

Table of values

List of values