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%I #5 Mar 30 2012 18:57:58
%S 1,5,0,8,8,1,6,7,0,3,3,4,9,5,0,3,0,5,0,7,8,1,0,1,8,0,8,2,7,2,2,1,6,3,
%T 4,0,4,3,9,1,6,0,1,1,1,5,3,6,3,4,9,5,7,1,8,3,5,6,9,7,7,9,0,0,4,5,5,7,
%U 7,3,8,6,2,8,6,5,0,7,4,7,7,6,6,5,3,0,0,1,4,4,2,4,5,8,4,3,7,4,7
%N Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=2*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.50881670334950305078101808272216340439160111...
%t a = 1; b = -3; c = 2;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.50, 1.51}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199729 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 09 2011
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