A118273 Decimal expansion of (4/3)^(3/2).

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

Offset

1,2

Comments

The volume of the cube inscribed in the unit-radius sphere. - Amiram Eldar, Jun 02 2023

Links

Table of n, a(n) for n=1..105.

Elliott H. Lieb, Residual entropy of square ice, Phys. Rev. 162 (1967) 162-172.

James Propp, The many faces of alternating-sign matrices, 2002.

Scenta server, Lieb's square ice constant. [Broken link]

Eric Weisstein's World of Mathematics, Lieb's Square Ice Constant.

Wikipedia, Lieb's square ice constant.

Index entries for algebraic numbers, degree 2

Formula

Equals 8 * A020784.

Example

1.539600717839002038...

Maple

evalf(sqrt((4/3)^3)) ; # R. J. Mathar, Mar 29 2012

Mathematica

RealDigits[(4/3)^(3/2), 10, 120][[1]] (* Harvey P. Dale, Aug 06 2015 *)

Crossrefs

Cf. A054759.

Cf. A122553 (octahedron), A339259 (regular icosahedron), A363437 (regular tetrahedron), A363438 (regular dodecahedron).

Sequence in context: A133090 A145800 A161501 * A242616 A073891 A196396

Adjacent sequences: A118270 A118271 A118272 * A118274 A118275 A118276

Keyword

nonn,cons,easy

Author

Eric W. Weisstein, Apr 21 2006

Status

approved