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Decimal expansion of (10^(1/3)-1)/2, an approximation to the Euler-Mascheroni constant.
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%I #15 Jul 19 2023 01:26:05

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

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

%U 5,5,5,3

%N Decimal expansion of (10^(1/3)-1)/2, an approximation to the Euler-Mascheroni constant.

%C The relative error of this approximation is about 2.91e-6.

%D R. Faure, A. Kaufmann and M. Denis-Papin, Manuale di Matematica, ISEDI, 1971, page 831. Translated from French and edited by M. G. Cossarini.

%H Stanislav Sykora, <a href="/A242220/b242220.txt">Table of n, a(n) for n = 0..2000</a>

%e 0.57721734501594186087964678325967524762967247109605429124461775...

%t RealDigits[(10^(1/3) - 1)/2, 10, 100][[1]] (* _G. C. Greubel_, Sep 04 2018 *)

%o (PARI) (sqrtn(10,3)-1)/2

%o (Magma) SetDefaultRealField(RealField(100)); (10^(1/3)-1)/2; // _G. C. Greubel_, Sep 04 2018

%Y Cf. A001620.

%K nonn,cons

%O 0,1

%A _Stanislav Sykora_, May 07 2014