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 A199796 #8 Feb 08 2025 22:36:22
%S A199796 8,2,1,2,9,7,2,1,5,5,5,5,7,4,6,2,4,9,3,2,3,2,7,1,2,7,6,5,3,2,9,1,5,9,
%T A199796 2,1,8,0,7,9,1,5,5,7,7,6,3,7,3,4,0,8,0,9,1,3,2,3,6,8,5,9,7,6,1,7,8,6,
%U A199796 4,2,0,7,8,4,0,9,9,2,3,5,4,5,4,6,0,0,4,5,9,1,3,6,1,5,7,2,2,3,8
%N A199796 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x).
%C A199796 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199796 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199796 0.8212972155557462493232712765329159218079155...
%t A199796 a = 3; b = -1; c = 2;
%t A199796 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199796 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199796 r = x /. FindRoot[f[x] == g[x], {x, .82, .83}, WorkingPrecision -> 110]
%t A199796 RealDigits[r] (* A199796 *)
%Y A199796 Cf. A199597.
%K A199796 nonn,cons
%O A199796 0,1
%A A199796 _Clark Kimberling_, Nov 10 2011