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

%I #5 Mar 30 2012 18:58:01

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

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

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

%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=1.39374195420359050651953479560748441952648892709400...

%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, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200607 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011