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%I #5 Mar 30 2012 18:57:57
%S 6,4,8,2,2,1,0,3,5,8,8,3,4,3,2,4,1,0,9,8,1,7,3,0,3,9,3,9,2,1,2,7,8,5,
%T 4,3,0,6,0,1,9,0,7,2,8,5,5,2,6,9,3,0,4,4,6,3,8,9,3,4,9,2,8,4,9,8,8,4,
%U 0,7,4,9,7,7,4,6,5,1,3,1,6,8,3,3,7,6,2,7,4,9,3,8,7,2,7,0,6,9,6
%N Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=2*cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.6482210358834324109817303939212785430601907...
%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, .64, .65}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199436 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
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