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A008432 Theta series of D_10 lattice. 3

%I #11 Oct 16 2018 07:58:16

%S 1,180,3380,16320,52020,129064,262080,489600,840500,1330420,2050344,

%T 2986560,4194240,5878440,7862400,10216320,13415220,17163880,21250420,

%U 26585280,32826664,39475200,47960640,57087360,67108800,80452188,93590440,107091840,125827200,145415080

%N Theta series of D_10 lattice.

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

%H Seiichi Manyama, <a href="/A008432/b008432.txt">Table of n, a(n) for n = 0..10000</a>

%t terms = 23; s = 1/2 (EllipticTheta[3, 0, q]^10 + EllipticTheta[4, 0, q]^10) + O[q]^(2 terms); CoefficientList[s, q^2] (* _Jean-François Alcover_, Jul 07 2017 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Seiichi Manyama_, Oct 16 2018

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Last modified April 25 11:03 EDT 2024. Contains 371967 sequences. (Running on oeis4.)