A034607 Theta series of (putative) extremal 2-modular even lattice in dimension 52.

1, 0, 0, 0, 5012280, 1328431104, 126565770240, 5972419215360, 168204503146680, 3197102083768320, 44523365649444864, 482515310674575360, 4247360089581903840, 31425180086324183040, 200349761482490480640

Offset

0,5

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)^13 - 312*t(x)^9*d(x) + 19656*t(x)^5*d(x)^2 - 87360*t(x)*d(x)^3 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: A359296 A227155 A106785 * A015363 A234785 A206136

Adjacent sequences: A034604 A034605 A034606 * A034608 A034609 A034610

Keyword

nonn

Author

N. J. A. Sloane

Status

approved