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A033720
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Product theta3(q^d); d | 8.
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13
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1, 2, 2, 4, 4, 4, 8, 8, 8, 10, 12, 12, 16, 20, 16, 24, 24, 20, 26, 20, 24, 32, 24, 24, 32, 30, 28, 40, 32, 20, 48, 32, 24, 48, 36, 48, 52, 36, 40, 56, 48, 52, 64, 44, 48, 84, 48, 48, 96, 50, 62, 72, 56, 68, 80, 72, 64
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OFFSET
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0,2
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COMMENTS
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Also number of integer solutions to a^2 +2*b^2 + 4*c^2 + 8*d^2 = n.
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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 102 eq 9.
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LINKS
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FORMULA
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Liouville gives an explicit formula for a(n).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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