A010616 - OEIS

%I #18 Nov 19 2022 04:40:06

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

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

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

%N Decimal expansion of cube root of 45.

%C Equals sqrt(3*sqrt(5*sqrt(3*sqrt(5*sqrt(3*sqrt(5)...))))). - _Zak Seidov_, Dec 19 2009

%H Vincenzo Librandi, <a href="/A010616/b010616.txt">Table of n, a(n) for n = 1..5000</a>

%e 3.556893304490062806006154622238911584978086914499436626266607499011003708058821...

%t RealDigits[N[45^(1/3), 100]][[1]] (* _Vincenzo Librandi_, Mar 27 2013 *)

%o (PARI) sqrtn(45,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010274 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_