%I #15 May 29 2019 13:12:02
%S 1,0,0,0,18,0,0,72,0,240,252,0,0,504,0,0,1026,0,2160,1512,0,0,2664,0,
%T 0,3528,0,6720,5616,0,0,6552,0,0,9828,0,17520,11232,0,0,16380,0,0,
%U 17784,0,30240,24336,0,0,26208,0,0,35532,0,60480,37296,0,0,48780,0,0,50400,0
%N Theta series of A*_8 lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.
%H Kok Seng Chua, <a href="https://doi.org/10.1090/S0002-9939-01-06080-4">The Root Lattice A*n and Ramanujan's Circular Summation of Theta Functions</a>, Proc. Amer. Math. Soc. 130 (2002), 1-8.
%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/As8.html">Home page for this lattice</a>
%F E4(9z)+18*eta^12(9z)/eta^4(3z) (E4(9z) term because A*_8 contains E8 as a sublattice). - _Kok Seng Chua_, May 02 2000
%Y Cf. A004009, A033690.
%K nonn,easy
%O 0,5
%A _N. J. A. Sloane_.
%E More terms from _Kok Seng Chua_, Jul 29 2001