A034648 - OEIS

%I #14 May 30 2026 16:40:03

%S 1,0,0,0,0,0,0,2680404480,346047074100,27150427799040,

%T 1339126841235456,45532075136970240,1138940408782088640,

%U 22013973446408455680,341610748093791221760,4387032910250801620992,47778624025820253837180

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

%H H.-G. Quebbemann, <a href="https://doi.org/10.1006/jnth.1995.1111">Modular lattices in Euclidean spaces</a>, J. Number Theory, 54 (1995), 190-202.

%F 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

%K nonn

%O 0,8

%A _N. J. A. Sloane_