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

0,1

Comments

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

Links

Table of n, a(n) for n=0..95.

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.

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

Example

0.6299605249474365823836053...

Maple

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

Mathematica

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

Prog

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

Crossrefs

Cf. A002580, A010503, A020761, A239797.

Sequence in context: A050235 A223536 A339410 * A018801 A055021 A260329

Adjacent sequences: A235359 A235360 A235361 * A235363 A235364 A235365

Keyword

nonn,cons,easy

Author

Alonso del Arte, Jan 07 2014

Status

approved