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A235362 Decimal expansion of the cube root of 2 divided by 2. 3

%I #33 Jan 16 2023 14:42:20

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

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

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

%N Decimal expansion of the cube root of 2 divided by 2.

%C Also reciprocal of the real cubic root of 4 and negated real part of either complex cubic root of 2.

%H Richard Zippel, <a href="http://dx.doi.org/10.1007/BFb0013185">The Weyl Computer Algebra Substrate</a> in Design and Implementation of Symbolic Computation Systems: International Symposium, DISCO '93 Gmunden, Austria, September 15-17, 1993. Proceedings, p. 306.

%F 2^(1/3)/2 = 1/2^(2/3) = 1/4^(1/3).

%F (-2^(1/3)/2 + sqrt(-3)/4^(1/3))^3 = 2.

%F Equals 1/A005480 = A002580 /2 . - _Wolfdieter Lang_, Jan 02 2023

%e 0.6299605249474365823836053...

%p Digits := 100 ; evalf(1/2^(2/3)) ; # _R. J. Mathar_, Jan 16 2023

%t RealDigits[1/2^(2/3), 10, 128][[1]]

%o (PARI) sqrtn(1/4,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A002580, A010503, A020761, A239797.

%K nonn,cons,easy

%O 0,1

%A _Alonso del Arte_, Jan 07 2014

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)