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 A199777 #8 Feb 08 2025 22:32:44
%S A199777 1,4,8,0,5,4,6,3,3,1,7,5,4,9,1,2,0,3,7,7,6,7,6,4,3,0,5,7,9,2,3,2,7,5,
%T A199777 8,7,3,2,9,8,5,3,8,3,0,2,7,5,8,0,3,5,3,7,3,4,1,7,0,4,6,2,9,8,7,3,8,9,
%U A199777 1,5,6,6,9,3,9,7,3,7,1,1,7,9,3,1,8,4,7,5,2,0,5,7,3,9,5,4,7,3,7
%N A199777 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=4*sin(x).
%C A199777 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199777 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199777 1.48054633175491203776764305792327587329853...
%t A199777 a = 2; b = -3; c = 4;
%t A199777 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199777 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199777 r = x /. FindRoot[f[x] == g[x], {x, 1.48, 1.49}, WorkingPrecision -> 110]
%t A199777 RealDigits[r] (* A199777 *)
%Y A199777 Cf. A199597.
%K A199777 nonn,cons
%O A199777 1,2
%A A199777 _Clark Kimberling_, Nov 10 2011