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 A199663 #8 Feb 08 2025 22:14:04
%S A199663 3,3,9,6,3,1,2,6,0,3,1,9,1,7,8,8,7,5,3,6,7,4,6,6,6,6,2,4,7,8,8,0,8,0,
%T A199663 5,3,1,0,7,7,8,8,4,2,3,0,7,5,8,5,8,3,6,7,9,4,4,2,5,8,9,3,3,9,1,4,2,6,
%U A199663 9,0,4,8,9,8,1,0,0,4,4,8,4,3,5,4,8,0,0,1,3,6,6,3,6,7,4,9,2,5,2
%N A199663 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=2*sin(x).
%C A199663 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199663 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199663 0.3396312603191788753674666624788080...
%t A199663 a = 3; b = 1; c = 2;
%t A199663 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199663 Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t A199663 r = x /. FindRoot[f[x] == g[x], {x, .33, .34}, WorkingPrecision -> 110]
%t A199663 RealDigits[r] (* A199663 *)
%Y A199663 Cf. A199597.
%K A199663 nonn,cons
%O A199663 0,1
%A A199663 _Clark Kimberling_, Nov 09 2011