A051657 Experimental values for number of equal circles that are packed into a square for which the density of the packing is strictly increasing.

1, 30, 38, 39, 52, 67, 68, 99, 119, 120

Offset

1,2

References

H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.

Links

Table of n, a(n) for n=1..10.

D. Boll, Optimal Packing Of Circles And Spheres.

E. Friedman, Erich's Packing Center.

C. D. Maranas, C. A. Floudas and P. M. Pardalos, New results in the packing of equal circles in a square, Discrete Mathematics 142 (1995), p. 287-293.

K. J. Nurmela and Patric R. J. Östergård, Packing up to 50 equal circles in a square, Discrete Comput. Geom. 18 (1997) 1, p. 111-120.

E. Specht, www.packomania.com.

Crossrefs

Sequence in context: A109426 A392559 A167325 * A257439 A298366 A130038

Adjacent sequences: A051654 A051655 A051656 * A051658 A051659 A051660

Keyword

nonn

Author

Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)

Extensions

I do not know how many of these values have been rigorously proved. - N. J. A. Sloane

Status

approved