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A004017
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Theta series of E_8 lattice with respect to deep hole.
(Formerly M5009)
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2
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16, 128, 448, 1024, 2016, 3584, 5504, 8192, 12112, 16128, 21312, 28672, 35168, 44032, 56448, 65536, 78624, 96896, 109760, 129024, 154112, 170496, 194688, 229376, 252016, 281344, 327040, 352256, 390240, 451584, 476672, 524288, 596736, 628992
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 122.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=1..34.
G. Nebe and N. J. A. Sloane, Home page for this lattice
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MATHEMATICA
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QP = QPochhammer; s = QP[-1, q]^16 QP[q]^8 / 2^12 + O[q]^34; CoefficientList[s, q] (* Jean-François Alcover, Jul 04 2017 *)
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CROSSREFS
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Equals 16 * A007331(n).
Sequence in context: A268998 A253319 A291460 * A167471 A153115 A138331
Adjacent sequences: A004014 A004015 A004016 * A004018 A004019 A004020
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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a(8) corrected and more terms from Sean A. Irvine, Oct 18 2015
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STATUS
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approved
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