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A198836 Decimal expansion of x>0 satisfying x^2-3*cos(x)=-2. 2

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

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

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

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

%N Decimal expansion of x>0 satisfying x^2-3*cos(x)=-2.

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

%e x=0.63892065760459453890825746264425967630...

%t a = 1; b = -3; c = -2;

%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .63, .64}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198836 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 30 2011

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Last modified September 17 19:42 EDT 2024. Contains 375990 sequences. (Running on oeis4.)