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A002434 Theta series of Borcherds' 27-dimensional unimodular lattice T_27. +0
1
1, 0, 0, 1640, 119574, 1497600, 16733184, 108081792, 588805308, 2544826368, 9516533760, 31328289720, 92876121704, 252846217728, 638250227712, 1511780699520, 3387237774102, 7228330481664 (list; graph; listen)
OFFSET

0,4

REFERENCES

R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28, in Reseaux euclidiens, designs spheriques et formes modulaires, pp. 212-267, Enseignement Math., Geneva, 2001.

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, Preface to 3rd ed.

LINKS

R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28 (html, ps).

MAPLE

th3^27-54*th3^19*delta8+216*th3^11*delta8^2-1024*th3^3*delta8^3 (th3= A000122, delta8= A002408).

CROSSREFS

Sequence in context: A054808 A158775 A043464 this_sequence A146300 A035866 A015340

Adjacent sequences: A002431 A002432 A002433 this_sequence A002435 A002436 A002437

KEYWORD

nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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