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%I #5 Mar 30 2012 18:57:57
%S 2,1,2,5,9,8,6,5,4,9,9,7,7,7,0,3,0,4,2,5,1,2,1,6,2,5,5,7,8,8,0,4,3,1,
%T 8,4,7,2,1,0,0,7,9,4,1,4,4,8,1,7,8,7,8,7,7,6,3,0,8,5,5,5,2,6,5,9,0,7,
%U 3,8,7,4,2,9,2,8,5,4,4,8,2,8,5,5,0,2,4,6,7,5,6,2,4,7,5,7,8,3,8
%N Decimal expansion of x>0 satisfying x^2+x*cos(x)=4*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.1259865499777030425121625578804318472100...
%t a = 1; b = 1; c = 4;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 2.12, 2.13}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199599 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 08 2011
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