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Search: id:A002482
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| A002482 |
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Theta series of Borcherds' 27-dimensional unimodular lattice U_27. |
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1
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| 1, 0, 0, 2664, 101142, 1645056, 16045056, 110146176, 584713404, 2549741568, 9515943936, 31314087864, 92917622376, 252775586304, 638328674304, 1511740886400, 3387163161366, 7228598851584
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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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 edition.
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine en dimension 27 et 28 (html, ps).
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MAPLE
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th3^27-54*th3^19*delta8+216*th3^11*delta8^2 (th3 = A000122, delta8 = A002408).
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CROSSREFS
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Sequence in context: A020439 A157609 A167191 this_sequence A107532 A110838 A019424
Adjacent sequences: A002479 A002480 A002481 this_sequence A002483 A002484 A002485
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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