A010592 - OEIS

%I #30 Dec 27 2023 12:09:02

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

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

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

%N Decimal expansion of cube root of 20.

%H Vincenzo Librandi, <a href="/A010592/b010592.txt">Table of n, a(n) for n = 1..5000</a> (a(5000) corrected by _Sean A. Irvine_)

%F Equals sqrt(2*sqrt(5*sqrt(2*sqrt(5*sqrt(2*sqrt(5)...))))). - _Zak Seidov_, Dec 19 2009

%e 2.71441761659490657151808946967948920480510776948909695728436544280330855632876...

%t RealDigits[N[20^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 06 2012 *)

%t RealDigits[CubeRoot[20],10,120][[1]] (* _Harvey P. Dale_, Dec 27 2023 *)

%o (PARI) sqrtn(20,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010250 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_