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A004017 Theta series of E_8 lattice with respect to deep hole.
(Formerly M5009)
2
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)
OFFSET

1,1

REFERENCES

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).

LINKS

Table of n, a(n) for n=1..34.

G. Nebe and N. J. A. Sloane, Home page for this lattice

MATHEMATICA

QP = QPochhammer; s = QP[-1, q]^16 QP[q]^8 / 2^12 + O[q]^34; CoefficientList[s, q] (* Jean-Fran├žois Alcover, Jul 04 2017 *)

CROSSREFS

Equals 16 * A007331(n).

Sequence in context: A133111 A268998 A253319 * A167471 A153115 A138331

Adjacent sequences:  A004014 A004015 A004016 * A004018 A004019 A004020

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(8) corrected and more terms from Sean A. Irvine, Oct 18 2015

STATUS

approved

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Last modified July 26 00:44 EDT 2017. Contains 289798 sequences.