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Search: id:A045819
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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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+0
2
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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; listen)
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OFFSET
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0,1
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 123.
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LINKS
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G. Nebe and N. J. A. Sloane, Home page for this lattice
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FORMULA
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(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
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2*q^(1/2) + 56*q^(3/2) + 252*q^(5/2) + ...
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CROSSREFS
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Cf. A001158, A008438.
Sequence in context: A024029 A134501 A037176 this_sequence A056046 A080313 A080268
Adjacent sequences: A045816 A045817 A045818 this_sequence A045820 A045821 A045822
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
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