A034637 Theta series of (putative) extremal 3-modular even lattice in dimension 54.

1, 0, 0, 0, 0, 4837644, 545544720, 29957919660, 964803491820, 20625869973240, 319226366296656, 3804612154272720, 36543747821394240, 292837918464839160, 2011081568586197040, 12091306043532050748, 64747015918593235290

Offset

0,6

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)^27 - 162*t(x)^21*d(x) + 6804*t(x)^15*d(x)^2 - 58968*t(x)^9*d(x)^3 + 10206*t(x)^3*d(x)^4 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: A176772 A017538 A190583 * A043637 A232676 A361075

Adjacent sequences: A034634 A034635 A034636 * A034638 A034639 A034640

Keyword

nonn

Author

N. J. A. Sloane

Status

approved