A034656 - OEIS

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

%S 1,0,0,0,0,0,0,0,20990607300,4031426457600,461953129453056,

%T 33678482285260800,1689777019197288000,61961776102200729600,

%U 1739541798786402086400,38795368719316465631232,708063881901057288830700

%N Theta series of (putative) extremal 3-modular even lattice in dimension 92.

%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)^46 - 276*t(x)^40*d(x) + 27324*t(x)^34*d(x)^2 - 1170240*t(x)^28*d(x)^3 + 20720700*t(x)^22*d(x)^4 - 121229136*t(x)^16*d(x)^5 + 138269376*t(x)^10*d(x)^6 - 56277504*t(x)^4*d(x)^7 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 0,9

%A _N. J. A. Sloane_