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

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.24, p. 412.

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 *)

Prog

(PARI) (4/3)^(3/2) \\ Stefano Spezia, Dec 15 2024

Crossrefs

Cf. A020784, 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