A034638 Theta series of (putative) extremal 3-modular even lattice in dimension 56.

1, 0, 0, 0, 0, 3193344, 439780320, 28182090240, 1036983601080, 24940586711040, 428900231311776, 5622869845232640, 58918247939073600, 511477348143928320, 3782795099424058080, 24368013884930462208

Offset

0,6

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)^28 - 168*t(x)^22*d(x) + 7560*t(x)^16*d(x)^2 - 77280*t(x)^10*d(x)^3 + 47880*t(x)^4*d(x)^4 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: A235070 A203877 A032783 * A122034 A153750 A234689

Adjacent sequences: A034635 A034636 A034637 * A034639 A034640 A034641

Keyword

nonn

Author

N. J. A. Sloane

Status

approved