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A022074
Theta series of D*_21 lattice.
1
1, 0, 0, 0, 42, 0, 0, 0, 840, 0, 0, 0, 10640, 0, 0, 0, 95802, 0, 0, 0, 652848, 2097152, 0, 0, 3504816, 0, 0, 0, 15266880, 44040192, 0, 0, 55350120, 0, 0, 0, 171361498, 440401920, 0, 0, 465944304, 0, 0, 0, 1145653488, 2833252352, 0, 0, 2610853840, 0, 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 + 42*q^4 + 840*q^8 + ...
PROG
(Magma)
L := Dual(Lattice("D", 21));
B := Basis(ThetaSeriesModularFormSpace(L), 60);
S := [1, 0, 0, 0, 42, 0, 0, 0, 840, 0, 0];
Coefficients(&+[B[i] * S[i] : i in [1..11]]); // Andy Huchala, Jul 14 2021
CROSSREFS
Sequence in context: A095189 A023932 A243831 * A335188 A263303 A263288
KEYWORD
nonn
EXTENSIONS
More terms from Andy Huchala, Jul 14 2021
STATUS
approved