A034658 - OEIS

%I #17 May 30 2026 16:40:03

%S 1,0,0,0,0,0,0,0,0,2370618432000,272651888920320,24922876620096000,

%T 1479910662908496000,63745506094548096000,2075221360603119456000,

%U 53130842241383142512640,1103303415283892173260000,19061424787521561471936000

%N Theta series of (putative) extremal 3-modular even lattice in dimension 96.

%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)^48 - 288*t(x)^42*d(x) + 30240*t(x)^36*d(x)^2 - 1411200*t(x)^30*d(x)^3 + 28576800*t(x)^24*d(x)^4 - 210325248*t(x)^18*d(x)^5 + 372726144*t(x)^12*d(x)^6 - 75271680*t(x)^6*d(x)^7 - 7921605600*d(x)^8 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 0,10

%A _N. J. A. Sloane_