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A200422 Decimal expansion of least x>0 satisfying 4*x^2+4*x+1=tan(x). 2

%I

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

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

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

%N Decimal expansion of least x>0 satisfying 4*x^2+4*x+1=tan(x).

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

%e x=1.50892977376017550225557254497618418437086156437...

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

%t RealDigits[r] (* A200422 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 18 2011

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Last modified July 28 06:37 EDT 2021. Contains 346317 sequences. (Running on oeis4.)