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 A291193 #20 Feb 16 2025 08:33:50
%S A291193 1,1,-1,-1,1,2,-1,-4,0,6,3,-7,-8,6,15,-2,-24,-9,33,32,-35,-68,20,114,
%T A291193 25,-164,-120,196,285,-160,-521,-16,796,423,-1021,-1166,999,2310,-387,
%U A291193 -3774,-1296,5194,4608,-5735,-10007,3870,17441,2750,-25635,-17116,31111
%N A291193 Expansion of 1 + x*(1-x)/(1 + x^2*(1-x^2)/(1 + x^3*(1-x^3)/(1 + x^4*(1-x^4)/(1 + x^5*(1-x^5)/(1 + ...))))), a continued fraction.
%H A291193 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MockThetaFunction.html">Mock Theta Function</a>
%F A291193 G.f.: 1/nu(q) where nu(q) is the '3rd order' mock theta function defined by Sum_{n >= 0} q^(n(n+1))/((1+q)(1+q^3)...(1+q^(2n+1))).
%F A291193 a(n) = (-1)^n*A291200(n). - _R. J. Mathar_, May 16 2024
%e A291193 G.f. = 1 + x - x^2 - x^3 + x^4 + 2*x^5 - x^6 - 4*x^7 + 6*x^9 + ...
%Y A291193 Cf. A053254 (nu(q)), A291200.
%K A291193 sign
%O A291193 0,6
%A A291193 _Seiichi Manyama_, Aug 20 2017