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Decimal expansion of 4th root of 3.
15

%I #30 Aug 21 2023 10:14:14

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

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

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

%N Decimal expansion of 4th root of 3.

%C Also 8th root of 9. - _Alonso del Arte_, Dec 06 2011

%C The 4th root r(4) of the expected value E(x^4) for a normal distribution with zero mean and standard deviation 1. See A289090 for more details. - _Stanislav Sykora_, Jul 26 2017

%H Vincenzo Librandi, <a href="/A011002/b011002.txt">Table of n, a(n) for n = 1..5000</a>

%H <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>

%F Equals exp(arctanh(1/2)/2). - _Amiram Eldar_, Jul 10 2023

%e 1.3160740129524924608192189...

%t RealDigits[3^(1/4), 10, 100][[1]]

%o (PARI) sqrtn(3,4) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A179615, continued fraction.

%Y Cf. A076668, A011350, A289090, A289091.

%K nonn,cons

%O 1,2

%A _N. J. A. Sloane_