A034623 Theta series of extremal 3-modular even lattice in dimension 26.

1, 0, 0, 21840, 663390, 9552816, 85700160, 545117040, 2698670520, 11108413680, 39378830400, 123279090480, 350616550830, 917656568640, 2226379296960, 5103442680336, 11083979161710, 22885299178560, 45491444631360, 87177549972240, 160851232878336

Offset

0,4

Links

Andy Huchala, Table of n, a(n) for n = 0..10000

Andy Huchala, Magma program

G. Nebe and N. J. A. Sloane, Home page for this Lattice

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

Formula

G.f.: t(x)^13 - 78*t(x)^7*d(x) + 0*t(x)*d(x)^2 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: A265614 A265139 A092006 * A069312 A022206 A251510

Adjacent sequences: A034620 A034621 A034622 * A034624 A034625 A034626

Keyword

nonn

Author

N. J. A. Sloane

Extensions

a(18)-a(20) from Andy Huchala, Apr 09 2026

Status

approved