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A051661 Experimental values for number of circles in packing equal circles into a square for which there are no loose circles. 0
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 25, 27, 30, 34, 35, 36, 37, 38, 39, 42, 52, 56, 67, 68, 77, 80, 86, 87, 99, 120, 137, 143, 150, 188 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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=0..39.

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

Complement of A051660.

Sequence in context: A187041 A097752 A014866 * A051037 A250089 A257997

Adjacent sequences:  A051658 A051659 A051660 * A051662 A051663 A051664

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 June 1 04:57 EDT 2020. Contains 334758 sequences. (Running on oeis4.)