A034606 Theta series of (putative) extremal 2-modular even lattice in dimension 48.

1, 0, 0, 0, 9828000, 1610219520, 106928640000, 3703504896000, 79916509764000, 1199318335488000, 13538436891033600, 121168052748288000, 896885802317232000, 5650066143461376000, 31082310620734464000

Offset

0,5

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)^12 - 288*t(x)^8*d(x) + 14688*t(x)^4*d(x)^2 - 32256*d(x)^3 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: A214014 A339478 A072867 * A233839 A059044 A366414

Adjacent sequences: A034603 A034604 A034605 * A034607 A034608 A034609

Keyword

nonn

Author

N. J. A. Sloane

Status

approved