A351790 - cp's OEIS frontend

A351790 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} (k * (n-j))^j/j!.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	4
9	6
10	1
11	1
12	6
13	21
14	24
15	1
16	1
17	8
18	42
19	148
20	120
21	1
22	1
23	10
24	69
25	392
26	1305
27	720
28	1
29	1
30	12
31	102
32	780
33	4600
34	13806
35	5040
36	1
37	1
38	14
39	141
40	1336
41	11145
42	64752
43	170401
44	40320
45	1
46	1
47	16
48	186
49	2084
50	22200
51	191178
52	1063216
53	2403640
54	362880

[1, 1, 1, 1, 1, 2, 1, 1, 4, 6, 1, 1, 6, 21, 24, 1, 1, 8, 42, 148, 120, 1, 1, 10, 69, 392, 1305, 720, 1, 1, 12, 102, 780, 4600, 13806, 5040, 1, 1, 14, 141, 1336, 11145, 64752, 170401, 40320, 1, 1, 16, 186, 2084, 22200, 191178, 1063216, 2403640, 362880]

cp's OEIS Frontend

A351790 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} (k * (n-j))^j/j!.

Table of values

List of values