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A051660 Experimental values for number of circles in packing equal circles into a square for which there is a loose circle. +0
2
7, 11, 13, 14, 17, 19, 21, 22, 26, 28, 29, 31, 32, 33, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 81, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100 (list; graph; listen)
OFFSET

0,1

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

Sequence in context: A091901 A072823 A110547 this_sequence A028784 A119393 A155501

Adjacent sequences: A051657 A051658 A051659 this_sequence A051661 A051662 A051663

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 March 18 15:35 EDT 2010. Contains 173617 sequences.


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