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 A199432 #8 Feb 07 2025 20:08:52
%S A199432 5,4,3,0,4,7,6,2,4,4,0,7,4,0,1,0,3,7,9,6,0,7,3,5,5,9,0,1,4,3,7,6,5,2,
%T A199432 9,5,6,0,7,0,7,4,5,4,3,6,8,2,9,8,9,9,8,0,8,1,3,6,3,3,6,4,1,0,3,9,8,4,
%U A199432 8,2,0,5,8,1,0,2,1,9,5,6,8,7,9,5,4,5,8,4,9,5,2,0,3,1,5,2,5,0,1
%N A199432 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=cos(x).
%C A199432 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199432 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199432 0.5430476244074010379607355901437652956070...
%t A199432 a = 1; b = 2; c = 1;
%t A199432 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199432 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199432 r = x /. FindRoot[f[x] == g[x], {x, .54, .55}, WorkingPrecision -> 110]
%t A199432 RealDigits[r] (* A199432 *)
%Y A199432 Cf. A199429.
%K A199432 nonn,cons
%O A199432 0,1
%A A199432 _Clark Kimberling_, Nov 06 2011