A034613 Theta series of (putative) extremal 2-modular even lattice in dimension 76.

1, 0, 0, 0, 0, 21373632, 18370981440, 5510128239360, 770649113372040, 60186880523495040, 2968433974243019520, 100938857294230986240, 2524837792491902361600, 48801488716604103963840, 757294318377659855260800

Offset

0,6

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)^19 - 456*t(x)^15*d(x) + 61560*t(x)^11*d(x)^2 - 2425920*t(x)^7*d(x)^3 + 14507640*t(x)^3*d(x)^4 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: A174115 A189123 A206108 * A253870 A253877 A253543

Adjacent sequences: A034610 A034611 A034612 * A034614 A034615 A034616

Keyword

nonn

Author

N. J. A. Sloane

Status

approved