A253583 - OEIS

%I #27 Feb 23 2024 13:40:48

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

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

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

%N Decimal expansion of cube root of 2 multiplied by square root of 3.

%C Multiplied by i or -i, imaginary part of either complex cube root of 16.

%C 2^(1/3) sqrt(3) = distance between the critical points of xy(x+y)=1. - _Clark Kimberling_, Oct 05 2020

%H Chai Wah Wu, <a href="/A253583/b253583.txt">Table of n, a(n) for n = 1..10000</a>

%F (-2^(1/3) + 2^(1/3)sqrt(-3))^3 = 16.

%F Equals A002580 * A002194. - _Omar E. Pol_, Jan 04 2015

%e 2.18224727194344280712014522837961776265174667748060188140728214647356...

%t RealDigits[2^(1/3) Sqrt[3], 10, 100][[1]]

%o (PARI) sqrtn(2, 3)*sqrt(3) \\ _Michel Marcus_, Oct 18 2016

%Y Cf. A002194, A002580.

%K nonn,cons,easy

%O 1,1

%A _Alonso del Arte_, Jan 04 2015