A010596 - OEIS

%I #31 Feb 16 2025 08:32:32

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

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

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

%N Decimal expansion of cube root of 24.

%C Equals sqrt(2*sqrt(6*sqrt(2*sqrt(6*sqrt(2*sqrt(6)...))))). - _Zak Seidov_, Dec 19 2009

%C 24^(1/3) is also the Landau-Kolmogorov constant C(3,2) in the case supremum norm on the positive half line. - _Jean-François Alcover_, Jul 17 2014

%H Vincenzo Librandi, <a href="/A010596/b010596.txt">Table of n, a(n) for n = 1..5000</a> (a(5000) corrected by _Sean A. Irvine_)

%H Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/Landau-KolmogorovConstants.html">Landau-Kolmogorov Constants</a>

%e 2.88449914061481676464327662156021917678373850699870115509283238908337519365999...

%t RealDigits[N[24^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 07 2012 *)

%o (PARI) sqrtn(24,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010254 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_