A034651 - OEIS

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

%S 1,0,0,0,0,0,0,694576080,143509310280,15936817879920,1078304717952000,

%T 48803633732745360,1584869865891989040,38947346386343473680,

%U 754857976136114211840,11923236968042140120800,157595248120066189368390

%N Theta series of (putative) extremal 3-modular even lattice in dimension 82.

%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)^41 - 246*t(x)^35*d(x) + 20664*t(x)^29*d(x)^2 - 688800*t(x)^23*d(x)^3 + 8033130*t(x)^17*d(x)^4 - 21542220*t(x)^11*d(x)^5 + 2996280*t(x)^5*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_