A014457 Theta series of quadratic form (or lattice) with Gram matrix [ 2, 1, 0; 1, 3, 1; 0, 1, 2 ].

1, 0, 4, 8, 4, 0, 0, 16, 6, 0, 16, 8, 8, 0, 0, 16, 12, 0, 20, 24, 8, 0, 0, 16, 8, 0, 16, 32, 16, 0, 0, 32, 6, 0, 32, 16, 12, 0, 0, 16, 24, 0, 32, 40, 8, 0, 0, 32, 24, 0, 20, 16, 24, 0, 0, 48, 0, 0, 48, 24, 16, 0, 0, 48, 12, 0, 32, 56, 16, 0, 0, 16, 30, 0, 16, 40, 24, 0, 0, 32

Offset

0,3

Comments

This is the tetragonal 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 + 4*q^2 + 8*q^3 + 4*q^4 + 16*q^7 + 6*q^8 + 16*q^10 + 8*q^11 + 8*q^12 + 16*q^15 + ...

Crossrefs

Sequence in context: A103647 A033197 A124002 * A365941 A365946 A365944

Adjacent sequences: A014454 A014455 A014456 * A014458 A014459 A014460

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved