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 A199455 #11 Feb 08 2025 09:40:36
%S A199455 1,3,2,9,9,0,3,2,6,8,4,6,9,0,4,8,0,2,6,9,8,8,7,7,9,6,5,8,0,8,0,4,0,6,
%T A199455 0,8,2,5,3,7,3,3,2,0,9,4,4,6,9,6,2,1,6,6,3,3,6,6,8,3,2,7,7,4,0,2,8,2,
%U A199455 5,2,8,7,9,9,5,4,5,8,0,5,7,4,9,0,3,8,8,7,5,3,9,9,4,7,3,3,6,5,1
%N A199455 Decimal expansion of x>0 satisfying x^2-x*sin(x)=2*cos(x).
%C A199455 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199455 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199455 1.3299032684690480269887796580804060825373320...
%t A199455 a = 1; b = -1; c = 2;
%t A199455 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199455 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199455 r = x /. FindRoot[f[x] == g[x], {x, 1.32, 1.33}, WorkingPrecision -> 110]
%t A199455 RealDigits[r] (* A199455 *)
%Y A199455 Cf. A199429.
%K A199455 nonn,cons
%O A199455 1,2
%A A199455 _Clark Kimberling_, Nov 06 2011