

A051660


Experimental values for number of circles in packing equal circles into a square for which there is a loose circle.


1



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
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OFFSET

0,1


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..64.
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 Patric R. J. Östergård, 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: A110547 A279622 A247819 * A187040 A028784 A119393
Adjacent sequences: A051657 A051658 A051659 * A051661 A051662 A051663


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



