A383341 - cp's OEIS frontend

A383341 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * Sum_{j=0..n} (-k)^(n-j) * binomial(j+k,j)/(n-j)!.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	6
10	1
11	1
12	4
13	11
14	24
15	1
16	1
17	5
18	16
19	53
20	120
21	1
22	1
23	6
24	21
25	88
26	309
27	720
28	1
29	1
30	7
31	26
32	129
33	568
34	2119
35	5040
36	1
37	1
38	8
39	31
40	176
41	897
42	4288
43	16687
44	40320
45	1
46	1
47	9
48	36
49	229
50	1296
51	7317
52	36832
53	148329
54	362880
55	1
56	1
57	10
58	41
59	288
60	1765
61	11296
62	67365
63	354688
64	1468457
65	3628800

[1, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 1, 4, 11, 24, 1, 1, 5, 16, 53, 120, 1, 1, 6, 21, 88, 309, 720, 1, 1, 7, 26, 129, 568, 2119, 5040, 1, 1, 8, 31, 176, 897, 4288, 16687, 40320, 1, 1, 9, 36, 229, 1296, 7317, 36832, 148329, 362880, 1, 1, 10, 41, 288, 1765, 11296, 67365, 354688, 1468457, 3628800]

cp's OEIS Frontend

A383341 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * Sum_{j=0..n} (-k)^(n-j) * binomial(j+k,j)/(n-j)!.

Table of values

List of values