A034658 Theta series of (putative) extremal 3-modular even lattice in dimension 96.

1, 0, 0, 0, 0, 0, 0, 0, 0, 2370618432000, 272651888920320, 24922876620096000, 1479910662908496000, 63745506094548096000, 2075221360603119456000, 53130842241383142512640, 1103303415283892173260000, 19061424787521561471936000

Offset

0,10

Links

Table of n, a(n) for n=0..17.

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

Formula

G.f.: t(x)^48 - 288*t(x)^42*d(x) + 30240*t(x)^36*d(x)^2 - 1411200*t(x)^30*d(x)^3 + 28576800*t(x)^24*d(x)^4 - 210325248*t(x)^18*d(x)^5 + 372726144*t(x)^12*d(x)^6 - 75271680*t(x)^6*d(x)^7 - 7921605600*d(x)^8 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: A172598 A321708 A077304 * A317289 A361935 A136174

Adjacent sequences: A034655 A034656 A034657 * A034659 A034660 A034661

Keyword

nonn

Author

N. J. A. Sloane

Status

approved