login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #8 Aug 09 2021 07:57:23

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

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

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

%N Decimal expansion of least x>0 satisfying x^2+x+3=tan(x).

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

%e x=1.41632970423011263898244065163005347571...

%t a = 1; b = 1; c = 3;

%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] (* A200344 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 16 2011