A034608 - OEIS

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

%S 1,0,0,0,2232720,933101568,128160829440,8227171860480,302754273388560,

%T 7280392836218880,125216070331613184,1641381676905922560,

%U 17201001495011382720,149306112339190087680,1104376237897475727360

%N Theta series of (putative) extremal 2-modular even lattice in dimension 56.

%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)^14 - 336*t(x)^10*d(x) + 25200*t(x)^6*d(x)^2 - 215040*t(x)^2*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

%K nonn

%O 0,5

%A _N. J. A. Sloane_