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A200594 Decimal expansion of least x>0 satisfying 3*x^2-3*x+2=tan(x). 2

%I

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

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

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

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

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.23613178751523722413457003173658978215262520...

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

%t f[x_] := a*x^2 + b*x + 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] (* A200594 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011

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Last modified April 26 09:52 EDT 2019. Contains 322472 sequences. (Running on oeis4.)