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 A300520 #10 Aug 23 2018 08:09:22
%S A300520 1,1,2,4,8,15,31,57,113,212,410,757,1464,2684,5083,9380,17569,32120,
%T A300520 59977,109193,202046,367951,675541,1224453,2243795,4052369,7377243,
%U A300520 13314989,24140198,43406515,78510429,140800279,253663615,454352111,815790813,1457485309
%N A300520 Expansion of Product_{k>=1} 1 / (1 - Fibonacci(k)*x^k).
%H A300520 Vaclav Kotesovec, <a href="/A300520/b300520.txt">Table of n, a(n) for n = 0..4500</a>
%F A300520 log(a(n)) ~ log(phi)*n + 2*sqrt(polylog(2, 1/sqrt(5))*n) - 3*(log(n)/4), where polylog(2, 1/sqrt(5)) = 0.5107013915606224266804289751265205446721... and phi = A001622 = (1 + sqrt(5))/2 is the golden ratio.
%t A300520 nmax = 40; CoefficientList[Series[Product[1/(1-Fibonacci[k]*x^k), {k, 1, nmax}], {x, 0, nmax}], x]
%Y A300520 Cf. A000045, A023882, A075900, A077365, A179381, A318248.
%K A300520 nonn
%O A300520 0,3
%A A300520 _Vaclav Kotesovec_, Mar 08 2018