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A200587 Decimal expansion of least x>0 satisfying 3*x^2-x+3=tan(x). 2

%I

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

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

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

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

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

%e x=1.4433963575054844250056881479525166111775539...

%t a = 3; b = -1; c = 3;

%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] (* A200587 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011

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Last modified August 5 10:38 EDT 2021. Contains 346466 sequences. (Running on oeis4.)