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A008692
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Theta series of Niemeier lattice of type A_15 D_9.
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3
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1, 384, 187344, 16869888, 397468752, 4631235840, 34415333568, 187483505664, 814912215120, 2975507849088, 9486506786400, 27053151211008, 70486094556864, 169930873475328, 384163740664704
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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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FORMULA
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MATHEMATICA
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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 = 29/36 E4[q]^3 + 7/36 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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