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 A199782 #8 Feb 08 2025 22:32:33
%S A199782 1,1,7,1,2,5,7,3,0,0,3,4,2,5,6,2,9,5,6,1,8,4,6,1,2,5,0,0,5,3,9,2,0,6,
%T A199782 8,9,4,0,5,9,3,7,3,6,4,3,4,6,9,1,8,6,8,8,3,7,6,7,5,5,8,2,7,7,1,2,6,3,
%U A199782 9,1,8,5,7,2,1,0,7,8,6,7,7,1,5,3,0,7,8,7,5,7,3,6,3,3,4,3,2,4,6
%N A199782 Decimal expansion of x>0 satisfying 2*x^2-4*x*cos(x)=sin(x).
%C A199782 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199782 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199782 1.171257300342562956184612500539206894059373...
%t A199782 a = 2; b = -4; c = 1;
%t A199782 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199782 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199782 r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]
%t A199782 RealDigits[r] (* A199782 *)
%Y A199782 Cf. A199597.
%K A199782 nonn,cons
%O A199782 1,3
%A A199782 _Clark Kimberling_, Nov 10 2011