A034609 Theta series of (putative) extremal 2-modular even lattice in dimension 60.

1, 0, 0, 0, 867240, 566894592, 112147200000, 9800853258240, 470981049814440, 14336837814435840, 304364529554595840, 4828457541834178560, 60207442245584520480, 613448015526239477760, 5261469732373076766720

Offset

0,5

Links

Table of n, a(n) for n=0..14.

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

Formula

G.f.: t(x)^15 - 360*t(x)^11*d(x) + 31320*t(x)^7*d(x)^2 - 429120*t(x)^3*d(x)^3 where t(x) is the g.f. for A004011 and d(x) is the g.f. for A002288. - Sean A. Irvine, Oct 25 2025

Crossrefs

Sequence in context: A224596 A175279 A166485 * A182450 A293373 A306868

Adjacent sequences: A034606 A034607 A034608 * A034610 A034611 A034612

Keyword

nonn

Author

N. J. A. Sloane

Status

approved