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A200363 Decimal expansion of least x>0 satisfying 2*x^2+x+4=tan(x). 2

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

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

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

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

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

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

%e x=1.468948175407928093898510430678468820669886...

%t a = 2; b = 1; c = 4;

%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] (* A200363 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)