G.f.: A(x) = 1/(1 - 2*x*[A_1(x)]^(1/2)); A_1(x) = 1/(1 - 4*x*[A_2(x)]^(1/4)); ...; where A_{n-1}(x) = 1/(1 - 2^n*x*[A_{n}(x)]^(1/2^n)) for n>=1 with A_0(x)=A(x).

A137984

G.f.: A(x) = 1/(1 - 2*x*[A_1(x)]^(1/2)); A_1(x) = 1/(1 - 4*x*[A_2(x)]^(1/4)); ...; where A_{n-1}(x) = 1/(1 - 2^n*x*[A_{n}(x)]^(1/2^n)) for n>=1 with A_0(x)=A(x).

Terms

    a(0) =1a(1) =2a(2) =8a(3) =44a(4) =304a(5) =2572a(6) =26720a(7) =347832a(8) =5857280a(9) =132320524a(10) =4142751104a(11) =183830444712

External references