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A022085 Theta series of D*_32 lattice. 2

%I #14 Jul 16 2021 01:33:01

%S 1,64,1984,39680,575424,6448000,58115328,433131008,7019874240,

%T 14709082432,206518750336,285848172800,3185272407296,3515371815296,

%U 32146948928000,30156949879296,238103408854976,197101549419648,1393386325958336,1045365667116800,6768246939487360

%N Theta series of D*_32 lattice.

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

%H Andy Huchala, <a href="/A022085/b022085.txt">Table of n, a(n) for n = 0..20000</a>

%e G.f. = 1 + 64*q^2 + 1984*q^4 + ...

%o (Sage)

%o L = [1, 64, 1984, 39680, 575424]

%o M = ModularForms(Gamma0(2),16)

%o bases = [_.q_expansion(30) for _ in M.integral_basis()]

%o f = sum(x*y for (x,y) in zip(bases,L)); list(f) # _Andy Huchala_, Jul 15 2021

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Andy Huchala_, Jul 15 2021

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)