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 A084824 Maximum number of spheres of diameter one that can be packed in a cube of volume n (i.e., with edge length n^(1/3)). 5
 1, 1, 1, 2, 4, 4, 5, 8, 8, 8, 9, 9, 10, 11, 14, 14, 14, 15, 18, 18, 19, 19, 21, 21, 23, 24, 27, 27, 27, 27, 32, 32, 32, 33 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Higher sequence terms are only conjectures found by numerical experimentation. LINKS Dave Boll, Optimal Packing of Circles and Spheres Thierry Gensane, Dense Packings of Equal Spheres in a Cube, The Electronic Journal of Combinatorics 11 (2004), #R33. M. Goldberg, On the Densest Packing of Equal Spheres in a Cube, Math. Mag. 44, 199-208, 1971. Hugo Pfoertner, Best packing of equal spheres in a cube. Numerical results. Hugo Pfoertner, Densest Packings of Equal Spheres in a Cube. Visualizations. J. Schaer, On the Densest Packing of Spheres in a Cube, Can. Math. Bul. 9, 265-270, 1966. EXAMPLE a(5) = 4 because a cube of edge length 5^(1/3) = 1.7099759 is large enough to contain 4 spheres arranged as a tetrahedron, which requires a minimum enclosing cube of edge length 1+sqrt(2)/2 = 1.70710678. CROSSREFS Cf. A084825, A084826, A084827, A084616. Sequence in context: A280057 A257174 A327625 * A344710 A184615 A151969 Adjacent sequences:  A084821 A084822 A084823 * A084825 A084826 A084827 KEYWORD hard,more,nonn AUTHOR Hugo Pfoertner, Jun 12 2003 EXTENSIONS Corrected erroneous a(14) and extended to a(34) by Hugo Pfoertner, including results from Thierry Gensane, Jun 23 2011 STATUS approved

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Last modified August 7 15:25 EDT 2022. Contains 355989 sequences. (Running on oeis4.)