A034642 - OEIS

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

%S 1,0,0,0,0,0,138458880,15482327040,973804265280,37527682805760,

%T 983531592449280,18878469131612160,280164494820672000,

%U 3349945087383121920,33324456406105624320,282893511597411778560,2091767439982358658240

%N Theta series of (putative) extremal 3-modular even lattice in dimension 64.

%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)^32 - 192*t(x)^26*d(x) + 10944*t(x)^20*d(x)^2 - 185088*t(x)^14*d(x)^3 + 536256*t(x)^8*d(x)^4 - 483840*t(x)^2*d(x)^5 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 0,7

%A _N. J. A. Sloane_