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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. 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 (list; graph; refs; listen; history; text; internal format)
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. 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

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.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 May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)