A200703 - OEIS

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

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

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

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

%N Decimal expansion of least x>0 satisfying 1-8*x^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 0.294988606828926535708889652046761387788718260...

%t a = -8; c = 1;

%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, .2, .3}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200703 *)

%Y Cf. A200338.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Nov 21 2011