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A045819
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Theta series of E_8 lattice with respect to mid-point of edge.
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1
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2, 56, 252, 688, 1514, 2664, 4396, 7056, 9828, 13720, 19264, 24336, 31502, 40880, 48780, 59584, 74592, 86688, 101308, 123088, 137844, 159016, 190764, 207648, 235986, 275184, 297756, 335664, 384160, 410760, 453964, 520816, 553896, 601528
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 123.
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LINKS
| G. Nebe and N. J. A. Sloane, Home page for this lattice
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FORMULA
| (1/2)*(theta_2^2*theta_3^6+theta_2^6*theta_3^2).
a(n)=2*sigma_3(2n-1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
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EXAMPLE
| 2*q^(1/2) + 56*q^(3/2) + 252*q^(5/2) + ...
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CROSSREFS
| Cf. A001158, A008438.
Sequence in context: A024029 A134501 A037176 * A193830 A196539 A056046
Adjacent sequences: A045816 A045817 A045818 * A045820 A045821 A045822
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
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