A034651 Theta series of (putative) extremal 3-modular even lattice in dimension 82.

1, 0, 0, 0, 0, 0, 0, 694576080, 143509310280, 15936817879920, 1078304717952000, 48803633732745360, 1584869865891989040, 38947346386343473680, 754857976136114211840, 11923236968042140120800, 157595248120066189368390

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)^41 - 246*t(x)^35*d(x) + 20664*t(x)^29*d(x)^2 - 688800*t(x)^23*d(x)^3 + 8033130*t(x)^17*d(x)^4 - 21542220*t(x)^11*d(x)^5 + 2996280*t(x)^5*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: A172709 A250434 A274363 * A274813 A203933 A219279

Adjacent sequences: A034648 A034649 A034650 * A034652 A034653 A034654

Keyword

nonn

Author

N. J. A. Sloane

Status

approved