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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; 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

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

Complement of A051660.

Sequence in context: A187041 A097752 A014866 * A051037 A070023 A035303

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 (njas(AT)research.att.com).

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.