A022064 Theta series of D*_11 lattice.

1, 0, 0, 0, 22, 0, 0, 0, 220, 0, 0, 2048, 1320, 0, 0, 0, 5302, 0, 0, 22528, 15224, 0, 0, 0, 33528, 0, 0, 112640, 63360, 0, 0, 0, 116380, 0, 0, 360448, 209550, 0, 0, 0, 339064, 0, 0, 901120, 491768, 0, 0, 0, 719400, 0, 0, 1959936, 1095160, 0, 0, 0, 1538416, 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..2500

G. Nebe and N. J. A. Sloane, Home page for this lattice

Example

G.f. = 1 + 22*q^4 + 220*q^8 + ...

Prog

(Magma)
L := Dual(Lattice("D", 11));
B := Basis(ThetaSeriesModularFormSpace(L), 20);
S := [1, 0, 0, 0, 22, 0, 0];
Coefficients(&+[B[i] * S[i] : i in [1..6]]); // Andy Huchala, Jul 13 2021

Crossrefs

Sequence in context: A104786 A104787 A023922 * A225343 A252670 A297813

Adjacent sequences: A022061 A022062 A022063 * A022065 A022066 A022067

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved