A200357 - OEIS

%I #6 Feb 07 2025 16:44:06

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

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

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

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

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

%e x=1.48882393200495768901102568538544375793070...

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

%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]   (* A200357 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011