cp's OEIS Frontend

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.

A292799 Expansion of 1/(1 + x + x/(1 + x + x^2/(1 + x + x^3/(1 + x + x^4/(1 + x + x^5/(1 + ...)))))), a continued fraction.

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%I A292799 #8 Sep 24 2017 04:56:01
%S A292799 1,-2,5,-12,27,-58,120,-239,456,-826,1397,-2130,2666,-1727,-4308,
%T A292799 24597,-80658,220301,-544803,1259278,-2760324,5775490,-11553490,
%U A292799 22039330,-39774088,66751007,-100238388,120817159,-61934817,-261953355,1315627072,-4183664882,11262428169,-27602763180
%N A292799 Expansion of 1/(1 + x + x/(1 + x + x^2/(1 + x + x^3/(1 + x + x^4/(1 + x + x^5/(1 + ...)))))), a continued fraction.
%H A292799 Vaclav Kotesovec, <a href="/A292799/b292799.txt">Table of n, a(n) for n = 0..1000</a>
%t A292799 nmax = 33; CoefficientList[Series[1/(1 + x + ContinuedFractionK[x^k, 1 + x, {k, 1, nmax}]), {x, 0, nmax}], x]
%t A292799 nmax = 40; CoefficientList[Series[1/Fold[(1 + x + #2/#1) &, 1, Reverse[x^Range[nmax]]], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Sep 24 2017 *)
%Y A292799 Cf. A088355.
%K A292799 sign
%O A292799 0,2
%A A292799 _Ilya Gutkovskiy_, Sep 23 2017