%I A002482
%S A002482 1,0,0,2664,101142,1645056,16045056,110146176,584713404,
%T A002482 2549741568,9515943936,31314087864,92917622376,252775586304,
%U A002482 638328674304,1511740886400,3387163161366,7228598851584
%N A002482 Theta series of Borcherds' 27-dimensional unimodular lattice U_27.
%D A002482 R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine 
               en dimension 27 et 28, in Reseaux euclidiens, designs spheriques 
               et formes modulaires, pp. 212-267, Enseignement Math., Geneva, 2001.
%D A002482 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", 
               Springer-Verlag, preface to 3rd edition.
%H A002482 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/
               abs/math.NT/0509316">On the Integrality of n-th Roots of Generating 
               Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%H A002482 R. Bacher and B. B. Venkov, Reseaux entiers unimodulaires sans racine 
               en dimension 27 et 28 (<a href="http://www-fourier.ujf-grenoble.fr/
               PREP/html/a332/a332.html">html</a>, <a href="http://www-fourier.ujf-grenoble.fr/
               cgi-bin/envoips.pl?PS=PREP/ps/t332">ps</a>).
%p A002482 th3^27-54*th3^19*delta8+216*th3^11*delta8^2 (th3 = A000122, delta8 = 
               A002408).
%Y A002482 Sequence in context: A020439 A157609 A167191 this_sequence A107532 A110838 
               A019424
%Y A002482 Adjacent sequences: A002479 A002480 A002481 this_sequence A002483 A002484 
               A002485
%K A002482 nonn
%O A002482 0,4
%A A002482 N. J. A. Sloane (njas(AT)research.att.com).