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A200361 Decimal expansion of least x>0 satisfying 2*x^2+x+2=tan(x). 2

%I #5 Mar 30 2012 18:58:00

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

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

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

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

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

%e x=1.439718202071976670349261324148378303130...

%t a = 2; b = 1; 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] (* A200361 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011

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Last modified April 24 07:54 EDT 2024. Contains 371922 sequences. (Running on oeis4.)