A034653 - OEIS

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

%S 1,0,0,0,0,0,0,0,79328599020,9721727473920,825278983157376,

%T 45122198826343680,1744057022573416320,50300436085175485440,

%U 1130644470268612379520,20501336085290555844096,308310554174018712009210

%N Theta series of (putative) extremal 3-modular even lattice in dimension 86.

%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)^43 - 258*t(x)^37*d(x) + 23220*t(x)^31*d(x)^2 - 861720*t(x)^25*d(x)^3 + 12078270*t(x)^19*d(x)^4 - 46268172*t(x)^13*d(x)^5 + 21380976*t(x)^7*d(x)^6 - 254676960*t(x)*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_