A087219 - cp's OEIS frontend

A087219 Satisfies A(x) = f(x) + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2Sum_{n>0} x^A023745(n). Also, A(x) = f(x)B(x), where B(x) = Sum_{k>=0} A087218(k)*x^k.

n	a(n)
0	1
1	2
2	4
3	9
4	20
5	44
6	99
7	219
8	487
9	1083
10	2406
11	5349
12	11889
13	26426
14	58739
15	130563
16	290208
17	645062
18	1433814
19	3187014
20	7083951
21	15745878
22	34999212
23	77794638
24	172918335
25	384354909
26	854326387
27	1898957331
28	4220914872
29	9382055124

[1, 2, 4, 9, 20, 44, 99, 219, 487, 1083, 2406, 5349, 11889, 26426, 58739, 130563, 290208, 645062, 1433814, 3187014, 7083951, 15745878, 34999212, 77794638, 172918335, 384354909, 854326387, 1898957331, 4220914872, 9382055124]

cp's OEIS Frontend

A087219 Satisfies A(x) = f(x) + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2Sum_{n>0} x^A023745(n). Also, A(x) = f(x)B(x), where B(x) = Sum_{k>=0} A087218(k)*x^k.

Table of values

List of values

cp's OEIS Frontend

A087219 Satisfies A(x) = f(x) + 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). Also, A(x) = f(x)*B(x), where B(x) = Sum_{k>=0} A087218(k)*x^k.

Table of values

List of values

A087219 Satisfies A(x) = f(x) + xA(x)f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2Sum_{n>0} x^A023745(n). Also, A(x) = f(x)B(x), where B(x) = Sum_{k>=0} A087218(k)*x^k.