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A200419 Decimal expansion of least x>0 satisfying 4*x^2+3*x+2=tan(x). 2

%I

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

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

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

%N Decimal expansion of least x>0 satisfying 4*x^2+3*x+2=tan(x).

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

%e x=1.506789651929988392995468454021304206771746968830...

%t a = 4; 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, 1.5, 1.51}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200419 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 18 2011

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Last modified September 26 11:22 EDT 2021. Contains 347665 sequences. (Running on oeis4.)