A239022 Decimal expansion of the volume of a rhombic dodecahedron with edges of unit length.

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

Offset

1,1

Comments

An algebraic number of degree 2 and denominator 9; minimal polynomial 27*x^2 - 256. - Charles R Greathouse IV, Apr 20 2016

Links

Table of n, a(n) for n=1..85.

Eric Weisstein's World of Mathematics, Rhombic Dodecahedron.

Wikipedia, Rhombic dodecahedron.

Index entries for algebraic numbers, degree 2

Formula

Equals 16*sqrt(3)/9.

V = a^3*16*sqrt(3)/9 with a = 1.

Example

3.07920143567800407738212682934377309678720934010734333876587907...

Maple

Digits:=100; evalf(16*sqrt(3)/9); # Wesley Ivan Hurt, Mar 10 2014

Mathematica

RealDigits[16/Sqrt[27], 10, 85][[1]] (* Indranil Ghosh, Mar 15 2017 *)

Prog

(PARI) 16/sqrt(27) \\ Charles R Greathouse IV, Apr 20 2016

Crossrefs

Sequence in context: A344387 A019970 A342698 * A343612 A363502 A198488

Adjacent sequences: A239019 A239020 A239021 * A239023 A239024 A239025

Keyword

nonn,cons

Author

Philippe Deléham, Mar 09 2014

Status

approved