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%I #5 Mar 30 2012 18:57:57
%S 2,3,0,6,4,7,8,3,4,7,1,0,4,8,0,2,6,8,7,7,0,5,9,0,6,4,3,9,6,6,9,2,0,9,
%T 2,4,6,6,5,8,7,8,6,5,4,2,2,7,8,7,0,3,5,8,3,1,2,8,1,4,4,5,4,6,8,0,1,3,
%U 9,1,8,3,1,5,7,4,3,0,8,2,4,7,9,5,1,8,9,0,3,4,5,1,0,4,7,2,4,8,6
%N Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=3*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.3064783471048026877059064396692092466587...
%t a = 1; b = 2; c = 3;
%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, 2.3, 2.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199601 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 08 2011
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