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A200639 Decimal expansion of least x>0 satisfying x^2+5=tan(x). 1

%I #7 Aug 09 2021 14:13:28

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

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

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

%N Decimal expansion of least x>0 satisfying x^2+5=tan(x).

%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.42977918919060764872866891722213424920795225848000...

%t a = 1; c = -5;

%t f[x_] := a*x^2 - 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, 1.41, 1.42}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200639 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 20 2011

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Last modified September 7 07:38 EDT 2024. Contains 375729 sequences. (Running on oeis4.)