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.

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.

Terms

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

External references