A034645 Theta series of (putative) extremal 3-modular even lattice in dimension 70.

1, 0, 0, 0, 0, 0, 37442160, 7086813120, 663060652380, 36370376132160, 1307704701620016, 33408753919853760, 643681645757136000, 9785495194374029760, 121579976060395874640, 1269438416516047833216

Offset

0,7

Links

Table of n, a(n) for n=0..15.

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

Formula

G.f.: t(x)^35 - 210*t(x)^29*d(x) + 13860*t(x)^23*d(x)^2 - 308280*t(x)^17*d(x)^3 + 1656270*t(x)^11*d(x)^4 - 821772*t(x)^5*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: A263560 A215130 A286037 * A204054 A206196 A272517

Adjacent sequences: A034642 A034643 A034644 * A034646 A034647 A034648

Keyword

nonn

Author

N. J. A. Sloane

Status

approved