

A008663


Theta series of direct sum of 2 copies of f.c.c. lattice.


1



1, 24, 156, 192, 636, 624, 1312, 1152, 2556, 1752, 4056, 2880, 5152, 4080, 7872, 4992, 10236, 6960, 11388, 8640, 16536, 9216, 19680, 12672, 20512, 15624, 26520, 15744, 30912, 20208, 34112, 23040
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OFFSET

0,2


REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag, p. 113.


LINKS



MATHEMATICA

terms = 32; s = 1/4 (EllipticTheta[3, 0, q]^3 + EllipticTheta[4, 0, q]^3)^2 + O[q]^(2 terms); CoefficientList[s, q^2] (* JeanFrançois Alcover, Jul 07 2017, from LatticeData(fcc) *)


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



