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

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

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

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

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

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

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

%e x=0.6449227965009328200264267181203255556569505666...

%t a = -3; c = 2;

%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, .6, .7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200698 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 21 2011