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A198872 Decimal expansion of x>0 satisfying 2*x^2-cos(x)=2. 2

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

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

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

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

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

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

%e x=1.1063325550299359152547560957295167526352...

%t a = 2; b = -1; c = 2;

%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, 1.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198872 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,4

%A _Clark Kimberling_, Oct 31 2011

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)