A109772 Expansion of eighth root of theta series of {D_8}* lattice.

1, 2, 32, -448, 258, 82432, -1067584, -5811456, 340793856, -2998521854, -51094125376, 1517473732032, -6428001477632, -345000533911040, 6658043297901184, 8307326726656256, -2094184270312728574, 27053603162176532480, 250115549146474154720, -11797456310343541979456

Offset: 0

Author

N. J. A. Sloane and Nadia Heninger, Aug 13 2005

Keywords

• sign

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..780
• N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

Crossrefs

Cf. A008427.

Programs

Mathematica

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 *)