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 A291651 #8 Feb 16 2025 08:33:50 %S A291651 1,-1,3,-7,15,-26,15,153,-1049,4790,-18522,64481,-206181,606384, %T A291651 -1615121,3715993,-6289929,550850,61250694,-382787092,1726745790, %U A291651 -6691501530,23413714107,-75179994017,221304346963,-586004040651,1318720868416,-2044320913276,-1137686341077,28530838758784,-165361803129585 %N A291651 a(n) = [x^n] (1/(1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...)))))))^n, a continued fraction. %H A291651 Seiichi Manyama, <a href="/A291651/b291651.txt">Table of n, a(n) for n = 0..1000</a> %H A291651 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Rogers-RamanujanContinuedFraction.html">Rogers-Ramanujan Continued Fraction</a> %F A291651 a(n) = A286509(n,n). %t A291651 Table[SeriesCoefficient[1/(1 + ContinuedFractionK[x^i, 1, {i, 1, n}])^n, {x, 0, n}], {n, 0, 30}] %Y A291651 Main diagonal of A286509. %Y A291651 Cf. A291335. %K A291651 sign %O A291651 0,3 %A A291651 _Ilya Gutkovskiy_, Aug 28 2017