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A198990 Decimal expansion of x>0 satisfying 4*x^2-cos(x)=4. 2

%I #5 Mar 30 2012 18:57:56

%S 1,0,5,9,4,0,8,7,6,9,0,7,0,0,3,7,4,7,8,4,5,4,1,9,3,2,2,5,6,9,2,3,6,5,

%T 3,2,5,0,6,7,9,6,1,1,7,9,2,4,6,0,8,4,1,1,2,7,4,3,5,1,3,4,5,1,3,2,9,8,

%U 1,2,6,1,3,0,5,6,8,6,3,5,6,1,1,1,4,2,4,4,9,1,4,0,0,3,3,7,3,5,1

%N Decimal expansion of x>0 satisfying 4*x^2-cos(x)=4.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.0594087690700374784541932256923653250679611...

%t a = 4; b = -1; c = 4;

%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, 1.05, 1.06}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198990 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 01 2011

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