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A004535
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Theta series of 14-dimensional unimodular lattice (E7+E7)+.
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1
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1, 0, 252, 3136, 17388, 64512, 194656, 501120, 1101996, 2193408, 4195800, 7551936, 12508384, 19934208, 31616064, 48487040, 70404012, 99735552, 142513308, 200515392, 268608312, 353783808, 475911072
(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.
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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
| (theta3^7 + 7*theta3^3*theta2^4)^2 + (theta2^7 + 7*theta2^3*theta3^4)^2.
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EXAMPLE
| 1+252q^2+3136q^3+...
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CROSSREFS
| Sequence in context: A104679 A117281 A152466 * A027815 A184498 A169713
Adjacent sequences: A004532 A004533 A004534 * A004536 A004537 A004538
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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