A034606 - OEIS

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

%S 1,0,0,0,9828000,1610219520,106928640000,3703504896000,79916509764000,

%T 1199318335488000,13538436891033600,121168052748288000,

%U 896885802317232000,5650066143461376000,31082310620734464000

%N Theta series of (putative) extremal 2-modular even lattice in dimension 48.

%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)^12 - 288*t(x)^8*d(x) + 14688*t(x)^4*d(x)^2 - 32256*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_