login
Theta series of laminated lattice LAMBDA_9.
(Formerly M5430)
1

%I M5430 #20 Jun 16 2021 21:04:41

%S 1,0,272,256,3058,2048,11232,7168,32848,16384,67936,32512,139040,

%T 59392,217408,95232,385266,147456,528752,226048,819424,315392,1075040,

%U 429056,1572192,589824

%N Theta series of laminated lattice LAMBDA_9.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 157.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Andy Huchala, <a href="/A005933/b005933.txt">Table of n, a(n) for n = 0..20000</a>

%e G.f.: 1 + 272*q^4 + 256*q^6 + ...

%o (Magma)

%o L := Lattice("Lambda", 9);

%o B := Basis(ThetaSeriesModularFormSpace(L),20);

%o Coefficients(B[1]+272*B[3]+256*B[4]+3058*B[5]+2048*B[6]+11232*B[7]+7168*B[8]+32848*B[9]+16384*B[10]); // _Andy Huchala_, Jun 16 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_