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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
1, 30, 38, 39, 52, 67, 68, 99, 119, 120 (list; graph; refs; listen; history; text; internal format)
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 P. R. J. Ostergard, 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: A227680 A109426 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

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Last modified August 18 04:50 EDT 2019. Contains 326072 sequences. (Running on oeis4.)