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A200689 Decimal expansion of least x>0 satisfying 5-x^2=tan(x). 2

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

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

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

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

%N Decimal expansion of least x>0 satisfying 5-x^2=tan(x).

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

%e x=1.2813699166211558680985769045348949896292293...

%t a = -1; c = 5;

%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, 1.2, 1.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200689 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 21 2011

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