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A045819
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Theta series of E_8 lattice with respect to midpoint 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
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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, 1999, p. 123.
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LINKS
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FORMULA
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G.f.: (1/2)*(theta_2^2*theta_3^6 + theta_2^6*theta_3^2).
Sum_{k=0..n} a(k) ~ (15*zeta(4)/4) * n^4. - Amiram Eldar, Dec 12 2023
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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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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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