A034648 Theta series of (putative) extremal 3-modular even lattice in dimension 76.

1, 0, 0, 0, 0, 0, 0, 2680404480, 346047074100, 27150427799040, 1339126841235456, 45532075136970240, 1138940408782088640, 22013973446408455680, 341610748093791221760, 4387032910250801620992, 47778624025820253837180

Offset

0,8

Links

Table of n, a(n) for n=0..16.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

Formula

G.f.: t(x)^38 - 228*t(x)^32*d(x) + 17100*t(x)^26*d(x)^2 - 474240*t(x)^20*d(x)^3 + 3956940*t(x)^14*d(x)^4 - 5228496*t(x)^8*d(x)^5 - 7967232*t(x)^2*d(x)^6 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: A064163 A022230 A358483 * A274816 A216902 A327811

Adjacent sequences: A034645 A034646 A034647 * A034649 A034650 A034651

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved