A034603 Theta series of (putative) extremal 2-modular even lattice in dimension 36.

1, 0, 0, 164160, 21976920, 977474304, 21608709120, 298138527360, 2874603112920, 21373181544960, 127658701983744, 647771930205120, 2832247673313120, 11086221986138880, 38924828600186880, 126269355327325056

Offset

0,4

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)^9 - 216*t(x)^5*d(x) + 3240*t(x)*d(x)^2 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: A234989 A110072 A196675 * A234680 A226004 A233705

Adjacent sequences: A034600 A034601 A034602 * A034604 A034605 A034606

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved