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Theta series of D_18 lattice.
2

%I #12 Oct 16 2018 10:09:31

%S 1,612,48996,1207680,12573540,73617480,318102912,1090632960,

%T 3176573796,8148505828,18918517320,40578145920,81375600000,

%U 154398101832,279331331328,484986858240,812932819812,1320330798792,2085523894756,3214498469760,4845373383240,7157876711424,10386510802560

%N Theta series of D_18 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 118.

%H Seiichi Manyama, <a href="/A022049/b022049.txt">Table of n, a(n) for n = 0..1000</a>

%t terms = 18; f[q_] = LatticeData["D18", "ThetaSeriesFunction"][-I*Log[q]/Pi]; s = f[q] + O[q]^(2 terms); DeleteCases[CoefficientList[s, q], 0][[1 ;; terms]] (* _Jean-François Alcover_, Jul 06 2017 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Seiichi Manyama_, Oct 16 2018