A034644 Theta series of (putative) extremal 3-modular even lattice in dimension 68.

1, 0, 0, 0, 0, 0, 59324832, 9489270528, 776727160524, 37876379202816, 1225662003185760, 28466028619547904, 502747052014448640, 7055035068293243136, 81394242248069392032, 793195142881305185280

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)^34 - 204*t(x)^28*d(x) + 12852*t(x)^22*d(x)^2 - 262752*t(x)^16*d(x)^3 + 1178100*t(x)^10*d(x)^4 - 462672*t(x)^4*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: A321496 A320211 A320220 * A269925 A288281 A238355

Adjacent sequences: A034641 A034642 A034643 * A034645 A034646 A034647

Keyword

nonn

Author

N. J. A. Sloane

Status

approved