%I #13 Feb 08 2025 09:40:34
%S 1,3,8,4,3,5,8,2,8,9,1,3,5,1,7,5,4,3,2,1,7,1,1,4,0,9,2,1,1,2,3,7,8,6,
%T 4,7,7,9,8,9,4,3,2,7,1,7,7,2,0,4,0,1,9,5,6,2,7,5,3,6,0,1,8,6,6,4,4,5,
%U 4,4,2,0,7,7,0,4,3,4,1,4,9,3,4,2,3,3,8,3,1,6,7,3,8,6,7,7,3,3,7
%N Decimal expansion of x>0 satisfying x^2-x*sin(x) = 3*cos(x).
%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e 1.384358289135175432171140921123786477989432717720...
%t a = 1; b = -1; c = 3;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.38, 1.39}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199456 *)
%Y Cf. A199429.
%K nonn,cons,changed
%O 1,2
%A _Clark Kimberling_, Nov 06 2011