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A005103 Minimal determinant of n-dimensional norm 3 lattice.
(Formerly M2724)
+0
1
1, 3, 8, 16, 32, 48, 64, 64 (list; graph; listen)
OFFSET

0,2

COMMENT

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

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 180.

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: A002624 A068039 A081661 this_sequence A001978 A077552 A024623

Adjacent sequences: A005100 A005101 A005102 this_sequence A005104 A005105 A005106

KEYWORD

nonn,hard

AUTHOR

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

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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