A008661 Theta series of direct sum of 5 copies of D_4 lattice.

1, 120, 5880, 150240, 2125560, 16730064, 80352480, 343550400, 1074130680, 3300009240, 8002059984, 20074327200, 41273292000, 90329139600, 165297094080, 327390278976, 549728415480, 1009882047600

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 = 18; s = (1/2 (EllipticTheta[3, 0, q]^4 + EllipticTheta[4, 0, q]^4) )^5 + O[q]^(2 terms); CoefficientList[s, q^2] (* Jean-François Alcover, Jul 08 2017 *)

Crossrefs

Sequence in context: A221435 A229636 A282431 * A246216 A246284 A289292

Adjacent sequences: A008658 A008659 A008660 * A008662 A008663 A008664

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved