A034616 Theta series of (putative) extremal 2-modular even lattice in dimension 88.

1, 0, 0, 0, 0, 0, 1496918016, 1136202743808, 353976828744528, 56044756561035264, 5201251175215079424, 313323507336824487936, 13209954342492009738240, 412735360540767496962048, 9991099175312361178828800, 194102740946345593681870848

Offset

0,7

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)^22 - 528*t(x)^18*d(x) + 90288*t(x)^14*d(x)^2 - 5508096*t(x)^10*d(x)^3 + 91024560*t(x)^6*d(x)^4 - 151227648*t(x)^2*d(x)^5 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: A166113 A157816 A157822 * A084551 A206045 A276820

Adjacent sequences: A034613 A034614 A034615 * A034617 A034618 A034619

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved