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Decimal expansion of 6th root of 2.
7

%I #20 Dec 27 2021 21:47:33

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

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

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

%N Decimal expansion of 6th root of 2.

%H Vincenzo Librandi, <a href="/A010768/b010768.txt">Table of n, a(n) for n = 1..5000</a>

%F Equals Product_{k>=0} (1 + (-1)^k/(6*k + 5)). - _Amiram Eldar_, Jul 25 2020

%F Equals sqrt(A002580). - _R. J. Mathar_, Jan 15 2021

%e 1.12246204...

%t RealDigits[N[2^(1/6), 100]][[1]] (* _Vincenzo Librandi_, Mar 31 2013 *)

%o (PARI) sqrtn(2,6) \\ _Charles R Greathouse IV_, Apr 15 2014

%K nonn,cons

%O 1,3

%A _N. J. A. Sloane_