A200629 - OEIS

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

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

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

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

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

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e x=1.49504480556516774011523936254551644959678979...

%t a = 5; c = -2;

%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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A200629 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 20 2011