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A200366 Decimal expansion of least x>0 satisfying 2*x^2+3*x+1=tan(x). 2

%I

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

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

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

%N Decimal expansion of least x>0 satisfying 2*x^2+3*x+1=tan(x).

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

%e x=1.46823592752775325663437248907838410044242...

%t a = 2; b = 3; c = 1;

%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] (* A200366 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011

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Last modified June 19 23:01 EDT 2019. Contains 324222 sequences. (Running on oeis4.)