A200243 Decimal expansion of sqrt(192).

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

Offset: 2

Author

Jonathan Vos Post, Nov 14 2011

Keywords

• nonn
• easy
• cons

Comments

Bezdek asks: if the Euclidean 3-space is partitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average surface area of the cells? He proves that the average surface area in question is always at least sqrt(192).

Examples

			13.856406460551018348219570732046978935542442030483045024446455835615.... = 8*A002194.
		

Links

• Karoly Bezdek, On a strong version of the Kepler conjecture, arXiv:1111.3092v1 [math.MG], Nov 14, 2011.

Programs

Mathematica

RealDigits[Sqrt[192],10,120][[1]] (* Harvey P. Dale, May 21 2018 *)

PARI

sqrt(192) \\ Charles R Greathouse IV, Nov 14 2011