login
A022066
Theta series of D*_13 lattice.
1
1, 0, 0, 0, 26, 0, 0, 0, 312, 0, 0, 0, 2288, 8192, 0, 0, 11466, 0, 0, 0, 41808, 106496, 0, 0, 116688, 0, 0, 0, 265408, 638976, 0, 0, 535704, 0, 0, 0, 1031914, 2449408, 0, 0, 1899664, 0, 0, 0, 3214224, 7135232, 0, 0, 5043376, 0, 0, 0, 7801744, 17571840, 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 + 26*q^4 + 312*q^8 + ...
PROG
(Magma)
L := Dual(Lattice("D", 13));
B := Basis(ThetaSeriesModularFormSpace(L), 20);
S := [ 1, 0, 0, 0, 26, 0, 0];
Coefficients(&+[B[i] * S[i] : i in [1..7]]); // Andy Huchala, Jul 13 2021
CROSSREFS
Sequence in context: A347810 A116197 A023924 * A291551 A217232 A040681
KEYWORD
nonn
AUTHOR
STATUS
approved