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A005103 Minimal determinant of n-dimensional norm 3 lattice.
(Formerly M2724)
0
1, 3, 8, 16, 32, 48, 64, 64 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The g.f. (1 + z + 2*z^2 + 2*z^3 + 6*z^4)/(1 - 2*z + 2*z*^3) conjectured by Simon Plouffe in his 1992 dissertation is almost certainly wrong.
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 180.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992.
CROSSREFS
Sequence in context: A068039 A188123 A081661 * A001978 A173283 A077552
KEYWORD
nonn,more,hard
AUTHOR
STATUS
approved

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Last modified August 6 00:03 EDT 2024. Contains 374957 sequences. (Running on oeis4.)