A034650 Theta series of (putative) extremal 3-modular even lattice in dimension 80.

1, 0, 0, 0, 0, 0, 0, 1111968000, 197700426000, 19523609952000, 1189018965657600, 48921569240544000, 1456306710444432000, 33035076324990432000, 594535744152421632000, 8764833317995898035200, 108608517794726532198000

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)^40 - 240*t(x)^34*d(x) + 19440*t(x)^28*d(x)^2 - 611520*t(x)^22*d(x)^3 + 6436080*t(x)^16*d(x)^4 - 14007168*t(x)^10*d(x)^5 - 907200*t(x)^4*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: A038452 A382161 A261510 * A035525 A337487 A184152

Adjacent sequences: A034647 A034648 A034649 * A034651 A034652 A034653

Keyword

nonn

Author

N. J. A. Sloane

Status

approved