A200389 - OEIS

%I #8 Feb 07 2025 16:44:07

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

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

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

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

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

%e x=1.48060251247447439559464689440710131245699201...

%t a = 3; 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]  (* A200389 *)

%Y Cf. A200338.

%K nonn,cons,changed

%O 1,2

%A _Clark Kimberling_, Nov 17 2011