A004536 - OEIS

%I #15 Jan 31 2022 01:30:52

%S 1,0,240,3640,23790,99456,323680,895680,2139780,4528640,8971872,

%T 16946280,29822520,49365120,80003520,127221568,193388910,282616320,

%U 409634640,590913960,825575016,1115613440

%N Theta series of 15-dimensional unimodular lattice A15+.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.

%H J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, <a href="http://dx.doi.org/10.1112/S0025579300009244">Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24</a>, Mathematika, 25 (1978), 36-43.

%H 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 G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A15p.html">Home page for this lattice</a>

%K nonn,easy,nice

%O 0,3

%A _N. J. A. Sloane_