A029670 Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 3, 1; 0, 1, 3 ].

1, 0, 2, 6, 4, 4, 0, 4, 10, 2, 2, 12, 10, 0, 6, 8, 8, 6, 6, 8, 12, 4, 4, 16, 8, 6, 0, 22, 12, 4, 6, 4, 26, 4, 0, 26, 18, 4, 8, 0, 6, 4, 10, 22, 28, 8, 4, 20, 22, 6, 10, 22, 0, 12, 4, 8, 18, 8, 8, 32, 24, 4, 8, 20, 20, 2, 4, 28, 26, 4, 4, 20, 30, 4, 10, 24, 16, 12, 2, 8, 36, 12, 8

Offset

0,3

Comments

This is the monoclinic P 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 + 6*q^3 + 4*q^4 + 4*q^5 + 4*q^7 + 10*q^8 + 2*q^9 + 2*q^10 + 12*q^11 + ...

Crossrefs

Sequence in context: A208507 A216153 A100115 * A160205 A187817 A276678

Adjacent sequences: A029667 A029668 A029669 * A029671 A029672 A029673

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved