A008423 Theta series of {D_7}* lattice.

1, 0, 0, 0, 14, 0, 0, 128, 84, 0, 0, 0, 280, 0, 0, 896, 574, 0, 0, 0, 840, 0, 0, 2688, 1288, 0, 0, 0, 2368, 0, 0, 5376, 3444, 0, 0, 0, 3542, 0, 0, 9856, 4424, 0, 0, 0, 7560, 0, 0, 16128, 9240, 0, 0, 0, 8456, 0, 0

Offset

0,5

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

Links

Table of n, a(n) for n=0..54.

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

Formula

Theta series in terms of Jacobi theta series: (theta_2)^7 + (theta_3)^7. - Sean A. Irvine, Mar 28 2018

Crossrefs

Sequence in context: A181170 A243830 A002337 * A240252 A317977 A023918

Adjacent sequences: A008420 A008421 A008422 * A008424 A008425 A008426

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved