A034632 - OEIS

A034632

Theta series of (putative) extremal 3-modular even lattice in dimension 44.

1, 0, 0, 0, 173844, 19160064, 880051392, 22403386368, 369973554588, 4389044453376, 40112660250432, 296843683018752, 1845359227400436, 9910421386905600, 46986241061327040, 200074070639950848

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OFFSET

0,5

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)^22 - 132*t(x)^16*d(x) + 3564*t(x)^10*d(x)^2 - 8448*t(x)^4*d(x)^3 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: A281621 A147314 A209813 * A251155 A166264 A205054

Adjacent sequences: A034629 A034630 A034631 * A034633 A034634 A034635

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved