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Search: id:A051661
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| A051661 |
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Experimental values for number of circles in packing equal circles into a square for which there are no loose circles. |
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+0
1
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| 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; listen)
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OFFSET
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0,2
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REFERENCES
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H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.
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LINKS
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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
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CROSSREFS
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Complement of A051660.
Sequence in context: A010432 A097752 A014866 this_sequence A051037 A070023 A035303
Adjacent sequences: A051658 A051659 A051660 this_sequence A051662 A051663 A051664
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KEYWORD
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nonn
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AUTHOR
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Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)
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EXTENSIONS
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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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