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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

Table of n, a(n) for n=0..7.

Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992.

Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992.

CROSSREFS

Sequence in context: A068039 A188123 A081661 * A001978 A173283 A077552

Adjacent sequences:  A005100 A005101 A005102 * A005104 A005105 A005106

KEYWORD

nonn,more,hard

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 18 12:34 EDT 2019. Contains 322209 sequences. (Running on oeis4.)