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A032800 If there were a 9-dimensional unimodular lattice with minimal norm 2, this would be its theta series; however, no such lattice exists. +0
1
1, 0, 252, 456, 2178, 4320, 7176, 13536, 21744, 35072, 43560, 60984, 95712, 125280, 143280, 178080, 261234, 315648, 347748, 424152, 557280, 665280, 695592, 804960, 1070112, 1262592, 1226520, 1418592 (list; graph; listen)
OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 416.

LINKS

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

CROSSREFS

Sequence in context: A072443 A129623 A062904 this_sequence A024749 A024757 A046379

Adjacent sequences: A032797 A032798 A032799 this_sequence A032801 A032802 A032803

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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