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%I #6 Mar 30 2012 18:57:54
%S 4,7,1,8,8,7,6,4,8,2,4,7,7,8,4,3,4,4,7,0,6,5,7,4,4,4,7,6,8,6,5,6,7,7,
%T 7,7,4,8,1,0,2,9,8,7,6,0,7,2,2,7,0,7,9,4,3,0,5,8,8,1,6,6,0,0,5,9,1,2,
%U 4,9,8,8,7,3,0,2,3,6,4,2,9,5,8,6,7,0,8,2,4,3,9,5,3,5,4,3,3,8,4
%N Decimal expansion of x>0 having 4*x^2=cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.471887648247784344706574447686567777...
%t a = 4; b = 0; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198347 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 23 2011
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