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 A199868 #8 Feb 08 2025 22:34:41
%S A199868 1,1,2,5,1,9,8,3,7,9,6,7,8,5,4,5,4,9,9,7,7,1,1,9,7,1,7,0,6,2,2,8,8,9,
%T A199868 8,0,9,8,5,9,8,5,3,3,9,2,3,3,2,8,2,7,2,1,9,4,7,1,3,2,5,9,0,8,8,2,1,2,
%U A199868 5,3,0,6,3,6,0,4,5,0,7,2,2,2,5,2,3,1,6,9,1,0,9,1,9,9,7,8,1,6,2
%N A199868 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=4*sin(x).
%C A199868 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199868 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199868 1.1251983796785454997711971706228898098598533...
%t A199868 a = 4; b = -3; c = 4;
%t A199868 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199868 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199868 r = x /. FindRoot[f[x] == g[x], {x, 1.12, 1.13}, WorkingPrecision -> 110]
%t A199868 RealDigits[r] (* A199868 *)
%Y A199868 Cf. A199597.
%K A199868 nonn,cons
%O A199868 1,3
%A A199868 _Clark Kimberling_, Nov 11 2011