A251689 - cp's OEIS frontend

A251689 G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2n} A200536(n,2n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2n-k) is the coefficient of x^k in (2+3x+x^2)^n.

n	a(n)
0	1
1	4
2	9
3	37
4	40
5	153
6	144
7	468
8	432
9	1260
10	1152
11	3168
12	2880
13	7632
14	6912
15	17856
16	16128
17	40896
18	36864
19	92160
20	82944
21	205056
22	184320
23	451584
24	405504
25	986112
26	884736
27	2138112
28	1916928
29	4608000
30	4128768
31	9879552
32	8847360
33	21086208
34	18874368
35	44826624
36	40108032
37	94961664
38	84934656
39	200540160

[1, 4, 9, 37, 40, 153, 144, 468, 432, 1260, 1152, 3168, 2880, 7632, 6912, 17856, 16128, 40896, 36864, 92160, 82944, 205056, 184320, 451584, 405504, 986112, 884736, 2138112, 1916928, 4608000, 4128768, 9879552, 8847360, 21086208, 18874368, 44826624, 40108032, 94961664, 84934656, 200540160]

cp's OEIS Frontend

A251689 G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2n} A200536(n,2n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2n-k) is the coefficient of x^k in (2+3x+x^2)^n.

Table of values

List of values

cp's OEIS Frontend

A251689 G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} A200536(n,2*n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2*n-k) is the coefficient of x^k in (2+3*x+x^2)^n.

Table of values

List of values

A251689 G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2n} A200536(n,2n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2n-k) is the coefficient of x^k in (2+3x+x^2)^n.