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%I #5 Mar 30 2012 18:57:56
%S 7,7,8,4,5,8,8,9,9,8,1,9,6,9,4,6,8,0,4,5,3,2,2,4,8,6,5,8,4,0,5,8,9,2,
%T 7,5,2,6,5,8,4,1,2,6,2,9,3,0,8,3,3,6,3,2,4,3,8,4,7,7,2,4,6,9,3,1,6,6,
%U 9,5,8,7,3,4,2,6,8,8,6,8,5,4,3,2,6,5,8,1,0,9,2,5,4,0,4,6,3,3,4
%N Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.77845889981969468045322486584058927526584126293...
%t a = 4; b = -2; c = 1;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198992 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 01 2011
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