A093824 Decimal expansion of (24*sqrt(2) - 6*sqrt(3) - 2*Pi)*Pi/72.

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

Offset: 0

Author

Eric W. Weisstein, Apr 16 2004

Keywords

• nonn
• cons
• easy

Comments

Bezdek and Kuperberg's ellipsoid packing density.

Examples

			.75335546051952988027803823783535476826403235090091185751340...
		

References

• A. Bezdek and W. Kuperberg, Packing Euclidean space with congruent cyclinders and congruent ellipsoids, in Applied Geometry and Discrete Mathematics (The Victor Klee Festschrift), Amer. Math. Soc., 1991, pp. 71-80. [From N. J. A. Sloane, May 04 2010]

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• Eric Weisstein's World of Mathematics, Ellipsoid Packing
• Index entries for transcendental numbers

Crossrefs

Cf. A093825.

Cf. A161687 (continued fraction). - Harry J. Smith, Jun 18 2009

Programs

Mathematica

RealDigits[(24Sqrt[2]-6Sqrt[3]-2Pi) Pi/72,10,120][[1]] (* Harvey P. Dale, Dec 16 2022 *)

PARI

{ default(realprecision, 20080); x=10*((24*sqrt(2) - 6*sqrt(3) - 2*Pi)*Pi)/72; for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b093824.txt", n, " ", d)); } \\ Harry J. Smith, Jun 18 2009

Extensions

Offset corrected by R. J. Mathar, Feb 05 2009

Edited by N. J. A. Sloane, Aug 10 2010