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 A199872 #8 Feb 08 2025 22:34:47
%S A199872 1,0,8,1,7,9,0,0,5,1,2,8,5,1,3,0,2,4,7,3,7,2,6,8,1,8,4,7,8,0,5,4,1,1,
%T A199872 4,5,9,0,3,4,2,0,2,6,1,6,8,3,4,7,9,3,1,2,5,8,4,7,6,0,4,2,2,9,9,2,2,8,
%U A199872 3,3,4,5,3,6,0,3,3,3,0,6,2,8,6,1,4,9,0,4,9,6,8,7,9,0,1,5,7,9,9
%N A199872 Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=3*sin(x).
%C A199872 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199872 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199872 1.0817900512851302473726818478054114590342026...
%t A199872 a = 4; b = -4; c = 3;
%t A199872 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199872 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199872 r = x /. FindRoot[f[x] == g[x], {x, 1.08, 1.09}, WorkingPrecision -> 110]
%t A199872 RealDigits[r] (* A199872 *)
%Y A199872 Cf. A199597.
%K A199872 nonn,cons
%O A199872 1,3
%A A199872 _Clark Kimberling_, Nov 11 2011