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 A291378 #8 Feb 16 2025 08:33:50 %S A291378 1,-2,4,-9,24,-74,251,-902,3359,-12802,49588,-194445,770099,-3076129, %T A291378 12380317,-50162386,204475572,-838014584,3451174777,-14274905490, %U A291378 59276495017,-247019567936,1032709501505,-4330122550717,18204993223606,-76728300335664,324125242867935,-1372110743864550 %N A291378 Expansion of the series reversion of -1 + 1/(1 - x/(1 - x/(1 - x^2/(1 - x^2/(1 - x^3/(1 - x^3/(1 - ...))))))), a continued fraction. %C A291378 Reversion of g.f. for A006958. %H A291378 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %H A291378 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SeriesReversion.html">Series Reversion</a> %H A291378 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A291378 G.f. A(x) satisfies: -1 + 1/(1 - A(x)/(1 - A(x)/(1 - A(x)^2/(1 - A(x)^2/(1 - A(x)^3/(1 - A(x)^3/(1 - ...))))))) = x. %F A291378 a(n) ~ (-1)^(n+1) * c * d^n / n^(3/2), where d = 4.473956977950366804747779231113352537187229544... and c = 0.1202474525564857621186593278823505223773725... - _Vaclav Kotesovec_, May 07 2024 %t A291378 Rest[CoefficientList[InverseSeries[Series[-1 + 1/(1 + ContinuedFractionK[-x^Floor[(i + 1)/2], 1, {i, 1, nmax}]), {x, 0, 28}], x], x]] %Y A291378 Cf. A006958. %K A291378 sign %O A291378 1,2 %A A291378 _Ilya Gutkovskiy_, Aug 23 2017