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A022075 Theta series of D*_22 lattice. 1

%I

%S 1,0,44,0,924,0,12320,0,117084,0,844536,4194304,4812192,0,22297792,

%T 92274688,86075484,0,283367436,968884224,815677016,0,2108077536,

%U 6551502848,5012882336,0,11159625400,32619102208,23460347328,0,46790491968,129830486016,89096422492

%N Theta series of D*_22 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

%H Andy Huchala, <a href="/A022075/b022075.txt">Table of n, a(n) for n = 0..20000</a>

%e G.f. = 1 + 44*q^2 + 924*q^4 + ...

%o (Sage)

%o L = [ 1, 0, 44, 0, 924, 0,]

%o M = ModularForms(Gamma1(4),11)

%o bases = [_.q_expansion(20) for _ in M.integral_basis()]

%o f = sum(x*y for (x,y) in zip(bases,L)); list(f) # _Andy Huchala_, Jul 14 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Andy Huchala_, Jul 14 2021

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Last modified October 27 20:18 EDT 2021. Contains 348290 sequences. (Running on oeis4.)