A034642 Theta series of (putative) extremal 3-modular even lattice in dimension 64.

1, 0, 0, 0, 0, 0, 138458880, 15482327040, 973804265280, 37527682805760, 983531592449280, 18878469131612160, 280164494820672000, 3349945087383121920, 33324456406105624320, 282893511597411778560, 2091767439982358658240

Offset

0,7

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)^32 - 192*t(x)^26*d(x) + 10944*t(x)^20*d(x)^2 - 185088*t(x)^14*d(x)^3 + 536256*t(x)^8*d(x)^4 - 483840*t(x)^2*d(x)^5 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: A203505 A342214 A251505 * A109093 A217002 A036744

Adjacent sequences: A034639 A034640 A034641 * A034643 A034644 A034645

Keyword

nonn

Author

N. J. A. Sloane

Status

approved