A010776 - OEIS

%I #14 Aug 01 2020 11:34:56

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

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

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

%N Decimal expansion of 14th root of 2.

%H Vincenzo Librandi, <a href="/A010776/b010776.txt">Table of n, a(n) for n = 1..5000</a>

%F Equals Product_{k>=0} (1 + (-1)^k/(14*k + 13)). - _Amiram Eldar_, Aug 01 2020

%t RealDigits[N[2^(1/14), 100]][[1]] (* _Vincenzo Librandi_, Apr 02 2013 *)

%o (PARI) sqrtn(2,14) \\ _Charles R Greathouse IV_, Apr 15 2014

%K nonn,cons

%O 1,3

%A _N. J. A. Sloane_.