A034629 Theta series of (putative) extremal 3-modular even lattice in dimension 38.

1, 0, 0, 0, 490770, 25510464, 680279040, 10924246080, 120784075020, 1006463391360, 6705022657536, 37283543136000, 178519518847530, 754021089521280, 2862533247114240, 9909872660858688, 31663678300510410

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)^19 - 114*t(x)^13*d(x) + 2052*t(x)^7*d(x)^2 - 3192*t(x)*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: A252847 A359687 A251972 * A109914 A209856 A234822

Adjacent sequences: A034626 A034627 A034628 * A034630 A034631 A034632

Keyword

nonn

Author

N. J. A. Sloane

Status

approved