A034630 Theta series of extremal 3-modular even lattice in dimension 40.

1, 0, 0, 0, 360360, 24482304, 779486400, 14593835520, 184508838360, 1729420492800, 12802224891456, 78296654177280, 409024498002120, 1871569396730880, 7650959837526720, 28381702983879168, 96730388598163320

Offset

0,5

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)^20 - 120*t(x)^14*d(x) + 2520*t(x)^8*d(x)^2 - 3360*t(x)^2*d(x)^3 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: A151619 A190390 A357700 * A251298 A235197 A385075

Adjacent sequences: A034627 A034628 A034629 * A034631 A034632 A034633

Keyword

nonn

Author

N. J. A. Sloane

Status

approved