A200631 - OEIS

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

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

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

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

%N Decimal expansion of least x>0 satisfying 5*x^2+4=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=1.5056797344883870062265585876776125665237822901...

%t a = 5; c = -4;

%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, 1.5, 1.51}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200631 *)

%Y Cf. A200338.

%K nonn,cons,changed

%O 1,2

%A _Clark Kimberling_, Nov 20 2011