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%I A004017 M5009 #19 Oct 24 2023 06:08:32
%S A004017 16,128,448,1024,2016,3584,5504,8192,12112,16128,21312,28672,35168,
%T A004017 44032,56448,65536,78624,96896,109760,129024,154112,170496,194688,
%U A004017 229376,252016,281344,327040,352256,390240,451584,476672,524288,596736,628992
%N A004017 Theta series of E_8 lattice with respect to deep hole.
%D A004017 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 122.
%D A004017 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A004017 G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/E8.html">Home page for this lattice</a>
%t A004017 QP = QPochhammer; s = QP[-1, q]^16 QP[q]^8 / 2^12 + O[q]^34; CoefficientList[s, q] (* _Jean-François Alcover_, Jul 04 2017 *)
%Y A004017 Equals 16 * A007331(n).
%K A004017 nonn,easy
%O A004017 1,1
%A A004017 _N. J. A. Sloane_
%E A004017 a(8) corrected and more terms from _Sean A. Irvine_, Oct 18 2015

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