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%I #16 Aug 25 2020 06:05:54
%S 1,30,38,39,52,67,68,99,119,120
%N Experimental values for number of equal circles that are packed into a square for which the density of the packing is strictly increasing.
%D H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.
%H D. Boll, <a href="http://www.frii.com/~dboll/packing.html">Optimal Packing Of Circles And Spheres</a>.
%H E. Friedman, <a href="https://erich-friedman.github.io/packing/index.html">Erich's Packing Center</a>.
%H C. D. Maranas, C. A. Floudas and P. M. Pardalos, <a href="https://doi.org/10.1016/0012-365x(93)e0230-2">New results in the packing of equal circles in a square</a>, Discrete Mathematics 142 (1995), p. 287-293.
%H K. J. Nurmela and Patric R. J. Östergård, <a href="http://www.inf.u-szeged.hu/~pszabo/Packing_circles.html">Packing up to 50 equal circles in a square</a>, Discrete Comput. Geom. 18 (1997) 1, p. 111-120.
%H E. Specht, <a href="http://www.packomania.com/">www.packomania.com</a>.
%K nonn
%O 1,2
%A Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)
%E I do not know how many of these values have been rigorously proved. - _N. J. A. Sloane_
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