A029678 Theta series of quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ].

1, 0, 0, 4, 6, 4, 0, 0, 2, 8, 0, 4, 18, 0, 0, 8, 6, 0, 0, 4, 12, 12, 0, 8, 12, 8, 0, 8, 12, 4, 0, 8, 2, 8, 0, 0, 42, 8, 0, 16, 0, 8, 0, 4, 24, 12, 0, 0, 18, 8, 0, 16, 12, 4, 0, 8, 12, 16, 0, 12, 48, 8, 0, 16, 6, 8, 0, 12, 12, 16, 0, 8, 14, 0, 0, 20, 24, 8, 0, 8, 12, 24, 0, 4, 72, 8

Offset

0,4

Comments

This is the digonal F 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 + 4*q^3 + 6*q^4 + 4*q^5 + 2*q^8 + 8*q^9 + 4*q^11 + 18*q^12 + 8*q^15 + 6*q^16 + ...

Crossrefs

Sequence in context: A255767 A274926 A079171 * A123732 A244339 A253623

Adjacent sequences: A029675 A029676 A029677 * A029679 A029680 A029681

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved