A015229 Theta series of lattice Kappa_11.

1, 0, 432, 1824, 8100, 21280, 46030, 95904, 185276, 265120, 509976, 735200, 1031016, 1555200, 2311880, 2645984, 4216860, 5200000, 6396192, 8592480, 11519624, 12022560, 17652168, 20269184, 23363450, 29522880, 37500080, 37249728, 52312392, 57561120, 63690384

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Examples

			G.f. = 1 + 432*q^4 + 1824*q^6 + ...
		

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 161.

Links

• Andy Huchala, Table of n, a(n) for n = 0..1250

Programs

Magma

L := (Lattice("Kappa", 11));
B := Basis(ThetaSeriesModularFormSpace(L), 50);
S := [1, 0, 432, 1824, 8100, 21280, 46030, 95904, 185276, 265120, 509976, 735200, 1031016, 1555200, 2311880, 2645984, 4216860, 5200000, 6396192, 8592480, 11519624];
Coefficients(&+[B[i] * S[i] : i in [1..21]]); // Andy Huchala, Jul 23 2021

Extensions

More terms from Andy Huchala, Jul 23 2021