A034626 Theta series of extremal 3-modular even lattice in dimension 32.

1, 0, 0, 9600, 738720, 20995200, 323447040, 3264209280, 24193818720, 141636842880, 687616439040, 2872273530240, 10599020662560, 35195412384000, 106971761721600, 301233185297280, 792772203713760

Offset

0,4

Links

Table of n, a(n) for n=0..16.

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

Formula

G.f.: t(x)^16 - 96*t(x)^10*d(x) + 864*t(x)^4*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: A038825 A038814 A230020 * A031596 A236715 A233913

Adjacent sequences: A034623 A034624 A034625 * A034627 A034628 A034629

Keyword

nonn

Author

N. J. A. Sloane

Status

approved