A271836 Decimal expansion of 3^(1/3) / 2^(1/6).

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

Offset

1,2

Comments

Used in a formula for a regular octahedron, a = 3^(1/3)/2^(1/6) * V^(1/3), where a is the edge length and V^(1/3) is the cube root of the volume.

An algebraic number of degree 6 and denominator 2; minimal polynomial is 2x^6 - 9. - Charles R Greathouse IV, Apr 18 2016

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Wikipedia, Octahedron

Index entries for algebraic numbers, degree 6

Formula

Equals A002581 / A010768.

Example

1.2848982934253252956716...

Maple

Digits:=100: evalf(3^(1/3)/2^(1/6));

Mathematica

RealDigits[N[3^(1/3)/2^(1/6), 100]]

Prog

(PARI) 3^(1/3) / 2^(1/6) \\ Altug Alkan, Apr 15 2016
(PARI) sqrtn(9/2, 6) \\ Charles R Greathouse IV, Apr 18 2016

Crossrefs

Cf. A002581, A010768.

Sequence in context: A247445 A151928 A365478 * A349823 A334704 A021355

Adjacent sequences: A271833 A271834 A271835 * A271837 A271838 A271839

Keyword

nonn,cons,easy

Author

Wesley Ivan Hurt, Apr 15 2016

Status

approved