A034613 - OEIS

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

%S 1,0,0,0,0,21373632,18370981440,5510128239360,770649113372040,

%T 60186880523495040,2968433974243019520,100938857294230986240,

%U 2524837792491902361600,48801488716604103963840,757294318377659855260800

%N Theta series of (putative) extremal 2-modular even lattice in dimension 76.

%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)^19 - 456*t(x)^15*d(x) + 61560*t(x)^11*d(x)^2 - 2425920*t(x)^7*d(x)^3 + 14507640*t(x)^3*d(x)^4 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 0,6

%A _N. J. A. Sloane_