A171211 G.f. satisfies: A(x) = (1 + x*A(2x))^8.

1, 8, 156, 5944, 425286, 57811000, 15246040860, 7918843018760, 8165859019876353, 16781575370067304448, 68855523432488884833408, 564547878300963670909315840, 9253510119618208634494942344960

Offset: 0

Author

Paul D. Hanna, Dec 05 2009

Keywords

• nonn

Crossrefs

Cf. A135868, A171200-A171209, A171210.

Programs

Mathematica

m = 13; A[] = 0; Do[A[x] = (1 + x A[2 x])^8 + O[x]^m // Normal, {m}];
CoefficientList[A[x], x] (* Jean-François Alcover, Nov 07 2019 *)

PARI

{a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=(1+x*subst(A, x, 2*x))^8); polcoeff(A, n)}

Formula

Self-convolution 8th power of A171210 where a(n) = A171210(n+1)/2^n for n>=0.