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A022064 Theta series of D*_11 lattice. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
LINKS
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
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified July 22 08:35 EDT 2024. Contains 374485 sequences. (Running on oeis4.)