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

%I #6 Mar 30 2012 18:58:00

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

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

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

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

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

%e x=1.4266351099330438090149257114961043442497281...

%t a = 1; b = 2; 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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200347 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 16 2011