%I A109144
%S A109144 1,0,18,24,324,720,9234,33696,307926,1614000,10860480,78618672,385935492,
%T A109144 3854459520,13226566500,189101997360,408244450788,9247223107008,9292147273170,
%U A109144 449330421257568,41307157825920,21633699079357296,25580513164295232,1028997388914059808
%V A109144 1,0,18,24,-324,-720,9234,33696,-307926,-1614000,10860480,78618672,-385935492,
%W A109144 -3854459520,13226566500,189101997360,-408244450788,-9247223107008,9292147273170,
%X A109144 449330421257568,41307157825920,-21633699079357296,-25580513164295232,
               1028997388914059808
%N A109144 G.f.: cube root of theta series of E*_6 lattice (cf. A005129).
%H A109144 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.
%Y A109144 Sequence in context: A092536 A125261 A166646 this_sequence A166471 A072422 
               A003300
%Y A109144 Adjacent sequences: A109141 A109142 A109143 this_sequence A109145 A109146 
               A109147
%K A109144 sign
%O A109144 0,3
%A A109144 N. J. A. Sloane (njas(AT)research.att.com) and Nadia Heninger (nadiah(AT)cs.princeton.edu), 
               Aug 18 2005