A034639 Theta series of (putative) extremal 3-modular even lattice in dimension 58.

1, 0, 0, 0, 0, 2045196, 341649000, 25561583100, 1074799357200, 29080855543800, 555671096821800, 8013314790198000, 91599268799905200, 861452113449619800, 6861231548786705400, 47355717188509476876

Offset

0,6

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)^29 - 174*t(x)^23*d(x) + 8352*t(x)^17*d(x)^2 - 98832*t(x)^11*d(x)^3 + 107010*t(x)^5*d(x)^4 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: A045871 A272598 A190316 * A206667 A251512 A113568

Adjacent sequences: A034636 A034637 A034638 * A034640 A034641 A034642

Keyword

nonn

Author

N. J. A. Sloane

Status

approved