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Decimal expansion of (1/2)^(1/3).
4

%I #25 Oct 05 2020 12:18:47

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

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

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

%N Decimal expansion of (1/2)^(1/3).

%C Let c = (1/2)^(1/3). A sphere of radius c*r has half the volume of a sphere of radius r. - _Rick L. Shepherd_, Aug 12 2016

%C Let c = (1/2)^(1/3). The relative maximum of xy(x+y)=1 is (c,-1/c^2). - _Clark Kimberling_, Oct 05 2020

%H Clark Kimberling, <a href="/A270714/b270714.txt">Table of n, a(n) for n = 0..10000</a>

%F Equals 1/A002580 = A002580*A235362 = A005480*A020761. [corrected and expanded by _Rick L. Shepherd_, Aug 12 2016]

%F Equals Product_{k>=1} (1 + (-1)^k/(3*k+1)). - _Amiram Eldar_, Aug 10 2020

%e 0.79370052598409973737585281963615413019574666394992650490414288091260825...

%t RealDigits[(1/2)^(1/3), 10, 200][[1]]

%o (PARI) (1/2)^(1/3) \\ _Altug Alkan_, Mar 22 2016

%Y Cf. A002580, A005480, A235362, A269993.

%K nonn,cons,easy

%O 0,1

%A _Clark Kimberling_, Mar 22 2016