A034644 - OEIS

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

%S 1,0,0,0,0,0,59324832,9489270528,776727160524,37876379202816,

%T 1225662003185760,28466028619547904,502747052014448640,

%U 7055035068293243136,81394242248069392032,793195142881305185280

%N Theta series of (putative) extremal 3-modular even lattice in dimension 68.

%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)^34 - 204*t(x)^28*d(x) + 12852*t(x)^22*d(x)^2 - 262752*t(x)^16*d(x)^3 + 1178100*t(x)^10*d(x)^4 - 462672*t(x)^4*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_