A034605 Theta series of (putative) extremal 2-modular even lattice in dimension 44.

1, 0, 0, 35904, 15246792, 1655292672, 76076470272, 1938889332864, 31986077222088, 379828874574336, 3467936329482240, 25688670889758912, 159542832418562208, 857641217296165632, 4062186698349846528

Offset

0,4

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)^11 - 264*t(x)^7*d(x) + 10296*t(x)^3*d(x)^2 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: A364177 A216065 A236201 * A031827 A097694 A209956

Adjacent sequences: A034602 A034603 A034604 * A034606 A034607 A034608

Keyword

nonn

Author

N. J. A. Sloane

Status

approved