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A004533
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Theta series of 12-dimensional unimodular lattice {D_12}^{+}.
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2
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1, 0, 264, 2048, 7944, 24576, 64416, 135168, 253704, 475136, 825264, 1284096, 1938336, 2973696, 4437312, 6107136, 8118024, 11354112, 15653352, 19802112, 24832944, 32800768, 42517728, 51523584
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24, Mathematika, 25 (1978), 36-43.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
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LINKS
| 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.
G. Nebe and N. J. A. Sloane, Home page for this lattice
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FORMULA
| (theta2^12+theta3^12+theta4^12)/2.
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EXAMPLE
| 1+264q^2+2048q^3+...
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CROSSREFS
| Cf. A106212.
Sequence in context: A195672 A123654 A014745 * A092724 A112069 A022043
Adjacent sequences: A004530 A004531 A004532 * A004534 A004535 A004536
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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