A200359 - OEIS

%I #6 Feb 07 2025 16:44:06

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

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

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

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

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

%e x=1.4307574575935354435154939284732386596400...

%t a = 2; b = 0; 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]   (* A200359 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011