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 A294922 #22 Nov 17 2017 12:05:19
%S A294922 1,-1,1,-1,2,-3,4,-6,8,-11,16,-22,31,-44,61,-85,119,-166,232,-325,454,
%T A294922 -634,886,-1237,1728,-2415,3373,-4712,6583,-9194,12843,-17941,25060,
%U A294922 -35006,48899,-68303,95409,-133272,186159,-260036,363230,-507373,708720,-989969,1382827,-1931590
%N A294922 Expansion of 1/(1 + x/(1 + x^3/(1 + x^4/(1 + x^7/(1 + x^11/(1 + ... + x^Lucas(k)/(1 + ...))))))), a continued fraction.
%F A294922 G.f.: 1/(1 + x/(1 + x^3/(1 + x^4/(1 + x^7/(1 + x^11/(1 + ... + x^A000204(k)/(1 + ...))))))), a continued fraction.
%t A294922 nmax = 45; CoefficientList[Series[1/(1 + ContinuedFractionK[x^LucasL[k], 1, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A294922 Cf. A000204, A007325, A206741, A206742, A206743, A279586.
%K A294922 sign
%O A294922 0,5
%A A294922 _Ilya Gutkovskiy_, Nov 16 2017