A351761 - cp's OEIS frontend

A351761 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) * (n-j)^j/j!.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	4
9	0
10	1
11	3
12	12
13	21
14	0
15	1
16	4
17	24
18	102
19	148
20	0
21	1
22	5
23	40
24	279
25	1160
26	1305
27	0
28	1
29	6
30	60
31	588
32	4332
33	16490
34	13806
35	0
36	1
37	7
38	84
39	1065
40	11536
41	84075
42	281292
43	170401
44	0
45	1
46	8
47	112
48	1746
49	25220
50	282900
51	1958058
52	5598110
53	2403640
54	0

[1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 12, 21, 0, 1, 4, 24, 102, 148, 0, 1, 5, 40, 279, 1160, 1305, 0, 1, 6, 60, 588, 4332, 16490, 13806, 0, 1, 7, 84, 1065, 11536, 84075, 281292, 170401, 0, 1, 8, 112, 1746, 25220, 282900, 1958058, 5598110, 2403640, 0]

cp's OEIS Frontend

A351761 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) * (n-j)^j/j!.

Table of values

List of values