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%I #5 Mar 30 2012 18:57:57
%S 2,0,1,7,7,4,6,7,6,0,9,2,2,1,1,8,4,5,3,5,4,7,3,0,6,4,1,9,4,0,3,2,6,0,
%T 3,7,4,4,1,3,2,6,5,9,4,0,2,6,5,5,5,1,1,3,6,9,8,7,5,6,6,2,7,3,2,5,2,1,
%U 2,0,5,9,7,9,4,3,2,3,0,1,0,7,9,6,8,1,4,3,8,5,4,2,4,7,5,5,7,4,3
%N Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.01774676092211845354730641940326037441326594026555...
%t a = 1; b = -2; c = -1;
%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, 2.01, 2.02}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199459 greatest root *)
%Y Cf. A199429.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 06 2011
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