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 A199506 #8 Feb 08 2025 10:00:48
%S A199506 8,0,9,4,7,6,4,1,5,8,7,5,0,6,2,2,6,6,8,3,5,3,1,7,9,1,3,8,4,5,9,8,9,1,
%T A199506 9,4,0,0,4,1,4,8,2,5,5,6,7,1,8,2,7,6,1,6,4,1,5,5,5,8,3,5,5,2,3,5,4,4,
%U A199506 5,5,0,7,3,5,0,8,6,3,9,7,5,5,3,1,2,9,5,5,5,5,7,0,3,8,0,3,3,0,2
%N A199506 Decimal expansion of x>0 satisfying 3*x^2-x*sin(x)=2*cos(x).
%C A199506 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199506 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199506 0.809476415875062266835317913845989194004148255...
%t A199506 a = 3; b = -1; c = 2;
%t A199506 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199506 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199506 r = x /. FindRoot[f[x] == g[x], {x, .80, .81}, WorkingPrecision -> 110]
%t A199506 RealDigits[r] (* A199506 *)
%Y A199506 Cf. A199429.
%K A199506 nonn,cons
%O A199506 0,1
%A A199506 _Clark Kimberling_, Nov 07 2011