A034641 Theta series of (putative) extremal 3-modular even lattice in dimension 62.

1, 0, 0, 0, 0, 0, 204174432, 18773441280, 1041087748932, 35631847249152, 840463316342496, 14666351388933888, 199513693368801504, 2202100418758318848, 20341241482523623200, 161166280165327084032, 1117212642637726847058

Offset

0,7

Links

Table of n, a(n) for n=0..16.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

Formula

G.f.: t(x)^31 - 186*t(x)^25*d(x) + 10044*t(x)^19*d(x)^2 - 152520*t(x)^13*d(x)^3 + 337590*t(x)^7*d(x)^4 - 773388*t(x)*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: A243363 A273094 A226079 * A288088 A233493 A187440

Adjacent sequences: A034638 A034639 A034640 * A034642 A034643 A034644

Keyword

nonn

Author

N. J. A. Sloane

Status

approved