A010584 - OEIS

%I #32 Dec 29 2024 23:48:34

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

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

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

%N Decimal expansion of cube root of 12.

%H Vincenzo Librandi, <a href="/A010584/b010584.txt">Table of n, a(n) for n = 1..5000</a>

%H <a href="/index/Al#algebraic_03">Index entries for algebraic numbers, degree 3</a>.

%F Equals sqrt(2*sqrt(3*sqrt(2*sqrt(3*sqrt(2*sqrt(3)...))))). - _Zak Seidov_, Dec 18 2009

%e 2.2894284851066637356160844238793540178318138415758621441...

%t RealDigits[N[12^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 06 2012 *)

%o (PARI) sqrtn(12,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010242 (continued fraction).

%K nonn,cons,easy

%O 1,1

%A _N. J. A. Sloane_