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 A199437 #8 Feb 07 2025 20:10:51
%S A199437 7,6,3,5,7,5,4,4,7,3,0,8,3,7,7,0,5,4,7,7,9,3,3,8,9,0,7,5,5,9,2,8,4,4,
%T A199437 3,4,1,0,5,1,9,0,3,6,2,8,0,6,7,1,1,5,4,4,4,5,8,7,1,1,6,3,1,2,9,9,3,1,
%U A199437 2,1,8,0,0,5,0,0,6,8,3,0,1,0,8,1,2,9,9,9,8,7,4,3,6,7,0,1,0,1,4
%N A199437 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3*cos(x).
%C A199437 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199437 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199437 0.763575447308377054779338907559284434105190362...
%t A199437 a = 1; b = 3; c = 3;
%t A199437 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199437 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199437 r = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
%t A199437 RealDigits[r] (* A199437 *)
%Y A199437 Cf. A199429.
%K A199437 nonn,cons
%O A199437 0,1
%A A199437 _Clark Kimberling_, Nov 06 2011