A010603 - OEIS

%I #22 Jun 03 2026 07:13:16

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

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

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

%N Decimal expansion of cube root of 32.

%C Equals sqrt(2*sqrt(8*sqrt(2*sqrt(8*sqrt(2*sqrt(8)...))))). - _Zak Seidov_, Dec 19 2009

%H Vincenzo Librandi, <a href="/A010603/b010603.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>.

%e 3.174802103936398949503411278544616520782986655799706019616571523650433011248438...

%t RealDigits[N[32^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 15 2012 *)

%o (PARI) sqrtn(32,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010261 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_