This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A171210 #17 Jul 08 2025 07:46:39 %S A171210 1,1,16,624,47552,6804576,1849952000,975746615040,1013611906401280, %T A171210 2090459909088346368,8592166589474459877376, %U A171210 70508055994868618069409792,1156194054760373598022278840320,37902377449956182566891283844956160,2484501232375923934830943089632156319744 %N A171210 G.f. A(x) satisfies A(x) = 1 + x*A(2*x)^8. %H A171210 Seiichi Manyama, <a href="/A171210/b171210.txt">Table of n, a(n) for n = 0..79</a> %F A171210 a(0) = 1; a(n) = 2^(n-1) * Sum_{x_1, x_2, ..., x_8>=0 and x_1+x_2+...+x_8=n-1} Product_{k=1..8} a(x_k). - _Seiichi Manyama_, Jul 08 2025 %t A171210 terms = 15; A[_] = 0; Do[A[x_] = 1+x*A[2x]^8 + O[x]^terms // Normal, terms]; CoefficientList[A[x], x] (* _Stefano Spezia_, Apr 02 2025 *) %o A171210 (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)} %Y A171210 Cf. A135867, A171200-A171209, A171211, A343439. %Y A171210 Cf. A171197. %K A171210 nonn %O A171210 0,3 %A A171210 _Paul D. Hanna_, Dec 05 2009