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A023920
Theta series of A*_8 lattice.
1
1, 0, 0, 0, 18, 0, 0, 72, 0, 240, 252, 0, 0, 504, 0, 0, 1026, 0, 2160, 1512, 0, 0, 2664, 0, 0, 3528, 0, 6720, 5616, 0, 0, 6552, 0, 0, 9828, 0, 17520, 11232, 0, 0, 16380, 0, 0, 17784, 0, 30240, 24336, 0, 0, 26208, 0, 0, 35532, 0, 60480, 37296, 0, 0, 48780, 0, 0, 50400, 0
OFFSET
0,5
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.
LINKS
Kok Seng Chua, The Root Lattice A*n and Ramanujan's Circular Summation of Theta Functions, Proc. Amer. Math. Soc. 130 (2002), 1-8.
G. Nebe and N. J. A. Sloane, Home page for this lattice
FORMULA
E4(9z)+18*eta^12(9z)/eta^4(3z) (E4(9z) term because A*_8 contains E8 as a sublattice). - Kok Seng Chua, May 02 2000
CROSSREFS
Sequence in context: A072839 A156400 A008424 * A214359 A198810 A347532
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Kok Seng Chua, Jul 29 2001
STATUS
approved