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A055747
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Expansion of Jacobi form of weight 12 and index 1 for the Niemeier lattice of type E_8^3 or D_16+E_8.
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20
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1, 0, 0, 56, 606, 0, 0, 27456, 123156, 0, 0, 3745512, 9217112, 0, 0, 95209152, 188066718, 0, 0, 1144371624, 1960489800, 0, 0, 8505838656, 13289979912, 0, 0, 45755357024, 67080028224, 0, 0, 195411318912, 272570040468, 0, 0
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OFFSET
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0,4
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COMMENTS
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a(4*n-r^2) gives number of vectors x in the lattice of norm 2n and <x,y>=r for any fixed vector in the lattice of norm 2.
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REFERENCES
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M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.
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LINKS
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FORMULA
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E_8*E_4, 1.
G.f.: b(z) * c(z) where b(z) is g.f. for A003783 and c(z) = 1 + 240*z^4 + 2160*z^8 + ... is A004009 expanded in powers of z^4. - Sean A. Irvine, Apr 05 2022
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 11 2000
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STATUS
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approved
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