A034647 Theta series of (putative) extremal 3-modular even lattice in dimension 74.

1, 0, 0, 0, 0, 0, 0, 4038853104, 438008289264, 30800914491984, 1365714986283648, 42218769101915952, 968065734992206032, 17271761302104838704, 248877833739156655488, 2983060512532748767392, 30457633136743382138478

Offset

0,8

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)^37 - 222*t(x)^31*d(x) + 15984*t(x)^25*d(x)^2 - 413808*t(x)^19*d(x)^3 + 3024306*t(x)^13*d(x)^4 - 2961036*t(x)^7*d(x)^5 - 13818168*t(x)*d(x)^6 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: A022261 A183801 A384552 * A234385 A173255 A357038

Adjacent sequences: A034644 A034645 A034646 * A034648 A034649 A034650

Keyword

nonn

Author

N. J. A. Sloane

Status

approved