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A200586 Decimal expansion of least x>0 satisfying 3*x^2-x+2=tan(x). 2

%I

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

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

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

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

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

%e x=1.42129360903927866794842140118594529682953499...

%t a = 3; b = -1; 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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200586 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011

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Last modified June 14 01:29 EDT 2021. Contains 345016 sequences. (Running on oeis4.)