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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; 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 S. 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

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

CROSSREFS

Sequence in context: A068039 A188123 A081661 * A001978 A173283 A077552

Adjacent sequences:  A005100 A005101 A005102 * A005104 A005105 A005106

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.