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A023920
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Theta series of A*_8 lattice.
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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| K. S. Chua (chuaks(AT)ihpc.nus.edu.sg), The Root Lattice A*n and Ramanujan's Circular Summation of Theta Functions, Proc. Amer. Math. Soc. 130 (2002), 1-8.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.
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LINKS
| G. Nebe and N. J. A. Sloane, Home page for this lattice
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FORMULA
| E4(9z)+18*eta^12(9z)/eta^4(3z) (E4(9z) term because A*_8 contains E8 as a sublattice) - Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 02 2000
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CROSSREFS
| Cf. A004009, A033690.
Sequence in context: A072839 A156400 A008424 * A198810 A096306 A052441
Adjacent sequences: A023917 A023918 A023919 * A023921 A023922 A023923
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 29 2001
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