A005933 Theta series of laminated lattice LAMBDA_9. (Formerly M5430)

1, 0, 272, 256, 3058, 2048, 11232, 7168, 32848, 16384, 67936, 32512, 139040, 59392, 217408, 95232, 385266, 147456, 528752, 226048, 819424, 315392, 1075040, 429056, 1572192, 589824

Offset

0,3

References

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

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

Links

Andy Huchala, Table of n, a(n) for n = 0..20000

Example

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

Prog

(Magma)
L := Lattice("Lambda", 9);
B := Basis(ThetaSeriesModularFormSpace(L), 20);
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

Crossrefs

Sequence in context: A214012 A303886 A305279 * A112820 A304892 A316574

Adjacent sequences: A005930 A005931 A005932 * A005934 A005935 A005936

Keyword

nonn

Author

N. J. A. Sloane

Status

approved