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A200692 Decimal expansion of least x>0 satisfying 8-x^2=tan(x). 2

%I #5 Mar 30 2012 18:58:01

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

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

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

%N Decimal expansion of least x>0 satisfying 8-x^2=tan(x).

%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.4062523232973614680805932963520423215416682...

%t a = -1; c = 8;

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

%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200692 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 21 2011

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