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Expansion of eighth root of theta series of {D_8}* lattice.
3

%I #12 Dec 10 2017 13:02:13

%S 1,2,32,-448,258,82432,-1067584,-5811456,340793856,-2998521854,

%T -51094125376,1517473732032,-6428001477632,-345000533911040,

%U 6658043297901184,8307326726656256,-2094184270312728574,27053603162176532480,250115549146474154720,-11797456310343541979456

%N Expansion of eighth root of theta series of {D_8}* lattice.

%H Vaclav Kotesovec, <a href="/A109772/b109772.txt">Table of n, a(n) for n = 0..780</a>

%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

%t terms = 20; s = (EllipticTheta[3, 0, q]^8 + EllipticTheta[2, 0, q]^8)^(1/8) + O[q]^terms; CoefficientList[s, q] (* _Jean-François Alcover_, Jul 08 2017, after A008427 *)

%Y Cf. A008427.

%K sign

%O 0,2

%A _N. J. A. Sloane_ and _Nadia Heninger_, Aug 13 2005