A029672 Theta series of quadratic form with Gram matrix [ 3, 1, 1; 1, 2, 1; 1, 1, 3 ].

1, 0, 2, 8, 2, 0, 6, 8, 6, 0, 4, 8, 12, 0, 4, 24, 2, 0, 14, 8, 0, 0, 8, 16, 18, 0, 4, 32, 12, 0, 16, 8, 6, 0, 4, 16, 14, 0, 8, 32, 12, 0, 24, 24, 12, 0, 8, 16, 12, 0, 10, 48, 0, 0, 18, 16, 12, 0, 12, 8, 36, 0, 12, 56, 2, 0, 16, 24, 12, 0, 8, 16, 42, 0, 12, 40, 12, 0, 36, 24, 0, 0

Offset

0,3

Comments

This is the digonal I lattice (the classical holotype) of dimension 3.

Links

John Cannon, Table of n, a(n) for n = 0..10000

G. Nebe and N. J. A. Sloane, Home page for this lattice

Example

1 + 2*q^2 + 8*q^3 + 2*q^4 + 6*q^6 + 8*q^7 + 6*q^8 + 4*q^10 + 8*q^11 + 12*q^12 + ...

Crossrefs

Sequence in context: A305677 A296569 A021082 * A011309 A087198 A200589

Adjacent sequences: A029669 A029670 A029671 * A029673 A029674 A029675

Keyword

nonn

Author

N. J. A. Sloane

Status

approved