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%I #7 Mar 30 2012 18:57:57
%S 2,1,8,5,9,8,5,9,9,6,7,8,6,2,2,7,3,7,3,3,4,5,4,3,3,5,9,6,3,5,7,7,0,0,
%T 1,5,7,3,3,8,5,6,4,6,1,7,1,9,8,5,6,8,9,9,3,7,5,9,8,8,2,9,6,1,5,5,6,6,
%U 1,5,2,7,3,2,9,5,3,3,0,5,1,8,9,5,6,6,8,4,6,2,2,6,4,2,4,7,4,7,0
%N Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=cos(x).
%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.18598599678622737334543359635770015733...
%t a = 1; b = -3; 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, 2.18, 2.19}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199468 *)
%Y Cf. A199429.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 07 2011
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