

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
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OFFSET

1,1


REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag, 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] (* JeanFrançois Alcover, Jul 04 2017 *)


CROSSREFS

Equals 16 * A007331(n).
Sequence in context: A268998 A253319 A291460 * 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



