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A022068
Theta series of D*_15 lattice.
1
1, 0, 0, 0, 30, 0, 0, 0, 420, 0, 0, 0, 3640, 0, 0, 32768, 21870, 0, 0, 0, 96936, 0, 0, 491520, 331240, 0, 0, 0, 911040, 0, 0, 3440640, 2128260, 0, 0, 0, 4495430, 0, 0, 15400960, 8972712, 0, 0, 0, 16946280, 0, 0, 51609600, 29822520, 0, 0, 0, 49476840, 0, 0
OFFSET
0,5
REFERENCES
J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, p. 120.
LINKS
EXAMPLE
G.f. = 1 + 30*q^4 + 420*q^8 + ...
PROG
(Magma)
L := Dual(Lattice("D", 15));
B := Basis(ThetaSeriesModularFormSpace(L), 20);
S := [1, 0, 0, 0, 30, 0, 0, 0];
Coefficients(&+[B[i] * S[i] : i in [1..8]]); // Andy Huchala, Jul 13 2021
CROSSREFS
Sequence in context: A124992 A296522 A023926 * A277043 A361058 A198805
KEYWORD
nonn
EXTENSIONS
More terms from Andy Huchala, Jul 13 2021
STATUS
approved