A382741 - cp's OEIS frontend

A382741 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] (1/3) * (1 / (exp(x) + exp(y) - exp(x+y))^3 - 1).

n	a(n)
1	1
2	1
3	1
4	1
5	9
6	1
7	1
8	25
9	25
10	1
11	1
12	57
13	193
14	57
15	1
16	1
17	121
18	889
19	889
20	121
21	1
22	1
23	249
24	3361
25	7593
26	3361
27	249
28	1
29	1
30	505
31	11545
32	47641
33	47641
34	11545
35	505
36	1
37	1
38	1017
39	37633
40	253737
41	465601
42	253737
43	37633
44	1017
45	1
46	1
47	2041
48	118969
49	1228249
50	3657721
51	3657721
52	1228249
53	118969
54	2041
55	1

[1, 1, 1, 1, 9, 1, 1, 25, 25, 1, 1, 57, 193, 57, 1, 1, 121, 889, 889, 121, 1, 1, 249, 3361, 7593, 3361, 249, 1, 1, 505, 11545, 47641, 47641, 11545, 505, 1, 1, 1017, 37633, 253737, 465601, 253737, 37633, 1017, 1, 1, 2041, 118969, 1228249, 3657721, 3657721, 1228249, 118969, 2041, 1]

cp's OEIS Frontend

A382741 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] (1/3) * (1 / (exp(x) + exp(y) - exp(x+y))^3 - 1).

Table of values

List of values