A382735 - cp's OEIS frontend

A382735 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] 1 / (exp(x) + exp(y) - exp(x+y))^3.

n	a(n)
0	1
1	0
2	0
3	0
4	3
5	0
6	0
7	3
8	3
9	0
10	0
11	3
12	27
13	3
14	0
15	0
16	3
17	75
18	75
19	3
20	0
21	0
22	3
23	171
24	579
25	171
26	3
27	0
28	0
29	3
30	363
31	2667
32	2667
33	363
34	3
35	0
36	0
37	3
38	747
39	10083
40	22779
41	10083
42	747
43	3
44	0
45	0
46	3
47	1515
48	34635
49	142923
50	142923
51	34635
52	1515
53	3
54	0
55	0
56	3
57	3051
58	112899
59	761211
60	1396803
61	761211
62	112899
63	3051
64	3
65	0

[1, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 27, 3, 0, 0, 3, 75, 75, 3, 0, 0, 3, 171, 579, 171, 3, 0, 0, 3, 363, 2667, 2667, 363, 3, 0, 0, 3, 747, 10083, 22779, 10083, 747, 3, 0, 0, 3, 1515, 34635, 142923, 142923, 34635, 1515, 3, 0, 0, 3, 3051, 112899, 761211, 1396803, 761211, 112899, 3051, 3, 0]

cp's OEIS Frontend

A382735 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] 1 / (exp(x) + exp(y) - exp(x+y))^3.

Table of values

List of values