A034625 Theta series of extremal 3-modular even lattice in dimension 30.

1, 0, 0, 13320, 765450, 17373528, 222765120, 1927796760, 12512745540, 65054981880, 284228958528, 1080409580280, 3650948982450, 11191850028000, 31612420152000, 83017777702824, 204808568938290, 479045829227040

Offset

0,4

Links

Table of n, a(n) for n=0..17.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

Formula

G.f.: t(x)^15 - 90*t(x)^9*d(x) + 540*t(x)^3*d(x)^2 where t(x) is the g.f. for A004016 and d(x) is the g.f. for A007332. - Sean A. Irvine, Oct 25 2025

Crossrefs

Sequence in context: A031620 A251339 A318252 * A283155 A254851 A162423

Adjacent sequences: A034622 A034623 A034624 * A034626 A034627 A034628

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved