A034633 Theta series of (putative) extremal 3-modular even lattice in dimension 46.

1, 0, 0, 0, 113850, 15778368, 870724800, 25859764800, 488038497300, 6513464208000, 66141470927808, 538415223033600, 3651432585811650, 21243562013404800, 108466375824014400, 494861539507032384

Offset

0,5

Links

Table of n, a(n) for n=0..15.

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

Formula

G.f.: t(x)^23 - 138*t(x)^17*d(x) + 4140*t(x)^11*d(x)^2 - 13800*t(x)^5*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: A135411 A108387 A112009 * A253118 A138266 A175697

Adjacent sequences: A034630 A034631 A034632 * A034634 A034635 A034636

Keyword

nonn

Author

N. J. A. Sloane

Status

approved