A022080 Theta series of D*_27 lattice.

1, 0, 0, 0, 54, 0, 0, 0, 1404, 0, 0, 0, 23400, 0, 0, 0, 280854, 0, 0, 0, 2586168, 0, 0, 0, 19014840, 0, 0, 134217728, 114791040, 0, 0, 0, 581257404, 0, 0, 3623878656, 2513392494, 0, 0, 0, 9436118328, 0, 0, 47110422528, 31274226360, 0, 0, 0, 93086496360, 0, 0

Offset

0,5

References

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

Links

Andy Huchala, Table of n, a(n) for n = 0..1627

Example

G.f. = 1 + 54*q^4 + 1404*q^8 + ...

Prog

(Magma)
L := Dual(Lattice("D", 27));
B := Basis(ThetaSeriesModularFormSpace(L), 70);
S := [1, 0, 0, 0, 54, 0, 0, 0, 1404, 0, 0, 0, 23400, 0];
Coefficients(&+[B[i] * S[i] : i in [1..14]]); // Andy Huchala, Jul 14 2021

Crossrefs

Sequence in context: A087530 A125037 A101365 * A238935 A033688 A058283

Adjacent sequences: A022077 A022078 A022079 * A022081 A022082 A022083

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 14 2021

Status

approved