%I #8 Apr 09 2026 20:16:23

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

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

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

%N Decimal expansion of least x>0 satisfying x^2+4x+2=tan(x).

%C See A200338 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 1.4716428697653383061109647932944015...

%t a = 1; b = 4; c = 2;

%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] (* A200355 *)

%o (PARI) solve(x=1.4,1.5, x^2+4x+2-tan(x)) \\ _Charles R Greathouse IV_, Apr 09 2026

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011