A087218 - cp's OEIS frontend

A087218 Satisfies A(x) = 1 + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2*Sum_{n>0} x^A023745(n).

n	a(n)
0	1
1	1
2	3
3	6
4	13
5	30
6	66
7	147
8	327
9	726
10	1614
11	3588
12	7974
13	17725
14	39399
15	87573
16	194655
17	432669
18	961716
19	2137659
20	4751490
21	10561392
22	23475378
23	52179987
24	115983270
25	257802273
26	573031011
27	1273706934
28	2831137095
29	6292921101
30	13987615113

[1, 1, 3, 6, 13, 30, 66, 147, 327, 726, 1614, 3588, 7974, 17725, 39399, 87573, 194655, 432669, 961716, 2137659, 4751490, 10561392, 23475378, 52179987, 115983270, 257802273, 573031011, 1273706934, 2831137095, 6292921101, 13987615113]

cp's OEIS Frontend

A087218 Satisfies A(x) = 1 + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2*Sum_{n>0} x^A023745(n).

Table of values

List of values

cp's OEIS Frontend

A087218 Satisfies A(x) = 1 + x*A(x)*f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2*Sum_{n>0} x^A023745(n).

Table of values

List of values

A087218 Satisfies A(x) = 1 + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2*Sum_{n>0} x^A023745(n).