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%I #6 Mar 30 2012 18:57:57
%S 2,4,7,9,8,1,6,1,6,7,5,8,0,7,5,2,6,9,9,1,5,6,8,6,7,4,4,6,0,3,4,3,4,4,
%T 2,9,3,2,3,8,5,7,1,2,5,0,4,0,5,9,8,1,6,9,3,3,8,7,5,4,6,4,0,9,5,3,5,6,
%U 6,7,0,9,3,5,5,4,0,8,7,6,2,9,5,8,9,3,1,1,9,0,5,5,3,8,6,2,9,0,7
%N Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-2*cos(x).
%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.4798161675807526991568674460343442932...
%t a = 1; b = -3; c = -2;
%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, 2.47, 2.48}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199465 greatest root *)
%Y Cf. A199429.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 07 2011
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