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A008688
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Theta series of Niemeier lattice of type D_24.
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15
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1, 1104, 170064, 17051328, 396408912, 4634713440, 34410979008, 187471449984, 814973040720, 2975426026128, 9486423324000, 27053536131648, 70485827477184, 169930457503968, 384164030001024
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OFFSET
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0,2
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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. 407.
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LINKS
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MATHEMATICA
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(* Coefficients 11/9 and -2/9 were computed from the data. *)
terms = 15; E4[q_] := 1 + 240 Sum[DivisorSigma[3, n]*q^(2 n), {n, 1, terms}]; E6[q_] := 1 - 504 Sum[DivisorSigma[5, n]*q^(2 n), {n, 1, terms}]; s = 11/9 E4[q]^3 - 2/9 E6[q]^2 + O[q]^(3 terms); Partition[ CoefficientList[s, q], 2][[All, 1]][[1 ;; terms]] (* Jean-François Alcover, Jul 06 2017 *)
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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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