

A051657


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


5




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. 287293.
K. J. Nurmela and P. R. J. Ostergard, Packing up to 50 equal circles in a square, Discrete Comput. Geom. 18 (1997) 1, p. 111120.
E. Specht, www.packomania.com


CROSSREFS

Sequence in context: A227680 A109426 A167325 * A257439 A298366 A130038
Adjacent sequences: A051654 A051655 A051656 * A051658 A051659 A051660


KEYWORD

nonn


AUTHOR

Eckard Specht (eckard.specht(AT)physik.unimagdeburg.de)


EXTENSIONS

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


STATUS

approved



