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%I #8 Jul 15 2021 01:46:00
%S 1,0,52,0,1300,0,20800,0,239252,0,2107560,0,14797120,67108864,
%T 85155200,0,410468500,1744830464,1688240372,0,6030043240,21810380800,
%U 19043826880,0,54177864000,176227876864,141373532200,0,343594659200,1046898278400,786344740480,0
%N Theta series of D*_26 lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
%H Andy Huchala, <a href="/A022079/b022079.txt">Table of n, a(n) for n = 0..20000</a>
%e G.f. = 1 + 52*q^2 + 1300*q^4 + ...
%o (Sage)
%o L = [1, 0, 52, 0, 1300, 0, 20800]
%o M = ModularForms(Gamma1(4),13)
%o bases = [_.q_expansion(20) for _ in M.integral_basis()]
%o f = sum(x*y for (x,y) in zip(bases,L)); list(f)
%K nonn
%O 0,3
%A _N. J. A. Sloane_
%E More terms from _Andy Huchala_, Jul 14 2021
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