A322622 - cp's OEIS frontend

A322622 E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2n+1} T(n,k) * x^(2n+1-k)y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.

n	a(n)
1	1
2	1
3	1
4	6
5	6
6	1
7	1
8	40
9	140
10	140
11	40
12	1
13	1
14	224
15	2562
16	7000
17	7000
18	2562
19	224
20	1
21	1
22	1152
23	39384
24	260736
25	605808
26	605808
27	260736
28	39384
29	1152
30	1
31	1
32	5632
33	541310
34	8131200
35	39032400
36	80735424
37	80735424
38	39032400
39	8131200
40	541310
41	5632
42	1
43	1
44	26624
45	6908772
46	225065984
47	2101762520
48	8105175936
49	15355426944
50	15355426944
51	8105175936
52	2101762520
53	225065984
54	6908772
55	26624
56	1
57	1
58	122880
59	83702010
60	5726156800
61	100096487400
62	680914730496
63	2234443571360
64	3951806601600
65	3951806601600
66	2234443571360
67	680914730496
68	100096487400
69	5726156800
70	83702010
71	122880
72	1

[1, 1, 1, 6, 6, 1, 1, 40, 140, 140, 40, 1, 1, 224, 2562, 7000, 7000, 2562, 224, 1, 1, 1152, 39384, 260736, 605808, 605808, 260736, 39384, 1152, 1, 1, 5632, 541310, 8131200, 39032400, 80735424, 80735424, 39032400, 8131200, 541310, 5632, 1, 1, 26624, 6908772, 225065984, 2101762520, 8105175936, 15355426944, 15355426944, 8105175936, 2101762520, 225065984, 6908772, 26624, 1, 1, 122880, 83702010, 5726156800, 100096487400, 680914730496, 2234443571360, 3951806601600, 3951806601600, 2234443571360, 680914730496, 100096487400, 5726156800, 83702010, 122880, 1]

cp's OEIS Frontend

A322622 E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2n+1} T(n,k) * x^(2n+1-k)y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.

Table of values

List of values

cp's OEIS Frontend

A322622 E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2*n+1} T(n,k) * x^(2*n+1-k)*y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.

Table of values

List of values

A322622 E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2n+1} T(n,k) * x^(2n+1-k)y^k/(2*n+1)!, as a triangle of coefficients T(n,k) read by rows.