A008660 Theta series of direct sum of 4 copies of D_4 lattice.

1, 96, 3552, 62592, 528864, 2191680, 8951424, 23321856, 67105248, 134971872, 319970880, 550300032, 1147717248, 1771816512, 3371135232, 4826361600, 8594190816, 11587029696, 19592103264

Offset

0,2

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 119.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for sequences related to D_4 lattice

Mathematica

terms = 19; s = (1/2 (EllipticTheta[3, 0, q]^4 + EllipticTheta[4, 0, q]^4) )^4 + O[q]^(2 terms); CoefficientList[s, q^2] (* Jean-François Alcover, Jul 08 2017 *)

Crossrefs

Sequence in context: A347753 A164762 A282210 * A164751 A272765 A240445

Adjacent sequences: A008657 A008658 A008659 * A008661 A008662 A008663

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved