A268647 - cp's OEIS frontend

A268647 G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2n)y/[Sum_{k=0..2n+1} T(n,k)y^k], where C(x,y) = Sum_{n>=0} x^(2n) / Product_{k=1..2n} (k + y) and S(x,y) = Sum_{n>=0} x^(2n+1) / Product_{k=1..2n+1} (k + y).

n	a(n)
0	0
1	1
2	2
3	5
4	4
5	1
6	48
7	124
8	120
9	55
10	12
11	1
12	2160
13	6012
14	6636
15	3829
16	1260
17	238
18	24
19	1
20	161280
21	478656
22	582080
23	387260
24	157080
25	40593
26	6720
27	690
28	40
29	1
30	18144000
31	56772000
32	74396520
33	54801076
34	25494150
35	7927205
36	1690920
37	248523
38	24750
39	1595
40	60
41	1
42	2874009600
43	9397658880
44	13075800192
45	10415648880
46	5357255904
47	1893627736
48	476011536
49	86550035
50	11423412
51	1084083
52	72072
53	3185
54	84
55	1
56	610248038400
57	2071437822720
58	3028563232128
59	2569081620624
60	1429040500160
61	556365173000
62	157528627256
63	33179499353
64	5260335080
65	629597540
66	56560504
67	3753022
68	178360
69	5740
70	112
71	1

[0, 1, 2, 5, 4, 1, 48, 124, 120, 55, 12, 1, 2160, 6012, 6636, 3829, 1260, 238, 24, 1, 161280, 478656, 582080, 387260, 157080, 40593, 6720, 690, 40, 1, 18144000, 56772000, 74396520, 54801076, 25494150, 7927205, 1690920, 248523, 24750, 1595, 60, 1, 2874009600, 9397658880, 13075800192, 10415648880, 5357255904, 1893627736, 476011536, 86550035, 11423412, 1084083, 72072, 3185, 84, 1, 610248038400, 2071437822720, 3028563232128, 2569081620624, 1429040500160, 556365173000, 157528627256, 33179499353, 5260335080, 629597540, 56560504, 3753022, 178360, 5740, 112, 1]

cp's OEIS Frontend

A268647 G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2n)y/[Sum_{k=0..2n+1} T(n,k)y^k], where C(x,y) = Sum_{n>=0} x^(2n) / Product_{k=1..2n} (k + y) and S(x,y) = Sum_{n>=0} x^(2n+1) / Product_{k=1..2n+1} (k + y).

Table of values

List of values

cp's OEIS Frontend

A268647 G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2*n)*y/[Sum_{k=0..2*n+1} T(n,k)*y^k], where C(x,y) = Sum_{n>=0} x^(2*n) / Product_{k=1..2*n} (k + y) and S(x,y) = Sum_{n>=0} x^(2*n+1) / Product_{k=1..2*n+1} (k + y).

Table of values

List of values

A268647 G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2n)y/[Sum_{k=0..2n+1} T(n,k)y^k], where C(x,y) = Sum_{n>=0} x^(2n) / Product_{k=1..2n} (k + y) and S(x,y) = Sum_{n>=0} x^(2n+1) / Product_{k=1..2n+1} (k + y).