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

Author

Eric W. Weisstein, Apr 21 2006

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			1.539600717839002038...
		

References

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

Links

• 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.

Crossrefs

Cf. A020784, A054759.

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

Programs

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 *)

PARI

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

Formula

Equals 8 * A020784.