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

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, 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, 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

Offset: 0

Author

Alonso del Arte, Jan 07 2014

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			0.6299605249474365823836053...
		

Links

• Richard Zippel, The Weyl Computer Algebra Substrate in Design and Implementation of Symbolic Computation Systems: International Symposium, DISCO '93 Gmunden, Austria, September 15-17, 1993. Proceedings, p. 306.

Crossrefs

Cf. A002580, A010503, A020761, A239797.

Programs

Maple

Digits := 100 ; evalf(1/2^(2/3)) ; # R. J. Mathar, Jan 16 2023

Mathematica

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

PARI

sqrtn(1/4,3) \\ Charles R Greathouse IV, Apr 14 2014

Formula

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

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

Equals 1/A005480 = A002580 /2 . - Wolfdieter Lang, Jan 02 2023