A034624 Theta series of extremal 3-modular even lattice in dimension 28.

1, 0, 0, 17472, 741636, 13390272, 143148096, 1064052288, 6036175404, 27868766016, 109801427904, 379026672192, 1173209872548, 3325244565888, 8715217301568, 21337886525760, 49450923128124, 108741929272704

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)^14 - 84*t(x)^8*d(x) + 252*t(x)^2*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: A031640 A236006 A190758 * A043599 A043850 A043866

Adjacent sequences: A034621 A034622 A034623 * A034625 A034626 A034627

Keyword

nonn

Author

N. J. A. Sloane

Status

approved