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Theta series of extremal 3-modular even lattice in dimension 30.
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%I #14 May 30 2026 16:40:03

%S 1,0,0,13320,765450,17373528,222765120,1927796760,12512745540,

%T 65054981880,284228958528,1080409580280,3650948982450,11191850028000,

%U 31612420152000,83017777702824,204808568938290,479045829227040

%N Theta series of extremal 3-modular even lattice in dimension 30.

%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)^15 - 90*t(x)^9*d(x) + 540*t(x)^3*d(x)^2 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 0,4

%A _N. J. A. Sloane_