%I A005129 M5309
%S A005129 1,0,54,72,0,432,270,0,918,720,0,2160,936,0,2700,2160,0,5184,2214,0,
%T A005129 5616,3600,0,9504,4590,0,9180,6552,0,15120,5184,0,14742,10800,0,21600,
               9360,0,19548,12240
%N A005129 Theta series of {E_6}* lattice.
%D A005129 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005129 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", 
               Springer-Verlag, p. 127.
%H A005129 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 A005129 G. Nebe and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/
               lattices/Es6.html">Home page for this lattice</a>
%Y A005129 Cf. A004007 (E_6).
%Y A005129 Sequence in context: A025331 A025323 A157934 this_sequence A039532 A007244 
               A114817
%Y A005129 Adjacent sequences: A005126 A005127 A005128 this_sequence A005130 A005131 
               A005132
%K A005129 nonn,nice,easy,more
%O A005129 0,3
%A A005129 N. J. A. Sloane (njas(AT)research.att.com).