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 A293719 #9 Feb 16 2025 08:33:51
%S A293719 1,0,-1,0,2,-1,-5,7,13,-37,-27,175,-2,-768,521,3120,-4457,-11394,
%T A293719 28363,34269,-157108,-56124,790091,-270661,-3638871,3821242,15153860,
%U A293719 -29235087,-54470264,182441139,143800906,-1008933847,-16080652,5067562024,-3456404771,-23114068193,33623924709,93441615451
%N A293719 Expansion of the series reversion of x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))), a continued fraction.
%C A293719 Reversion of 1 - 1/g(x) where g(x) = g.f. for A005169.
%H A293719 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A293719 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SeriesReversion.html">Series Reversion</a>
%H A293719 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A293719 G.f. A(x) satisfies: A(x)/(1 - A(x)^2/(1 - A(x)^3/(1 - A(x)^4/(1 - A(x)^5/(1 - ...))))) = x.
%t A293719 nmax = 38; Rest[CoefficientList[InverseSeries[Series[x/(1 + ContinuedFractionK[-x^k, 1, {k, 2, nmax}]), {x, 0, nmax}], x], x]]
%t A293719 nmax = 38; Rest[CoefficientList[InverseSeries[Series[1 - Sum[(-1)^i x^(i^2)/Product[(1 - x^j), {j, 1, i}], {i, 0, nmax}]/Sum[(-1)^i x^(i (i + 1))/Product[(1 - x^j), {j, 1, i}], {i, 0, nmax}], {x, 0, nmax}], x], x]]
%Y A293719 Cf. A005169, A291148, A291377.
%K A293719 sign
%O A293719 1,5
%A A293719 _Ilya Gutkovskiy_, Oct 15 2017