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Search: id:A023920
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| A023920 |
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Theta series of A*_8 lattice. |
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+0
1
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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; listen)
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OFFSET
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0,5
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REFERENCES
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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
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G. Nebe and N. J. A. Sloane, Home page for this lattice
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FORMULA
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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
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Cf. A004009, A033690.
Sequence in context: A072839 A156400 A008424 this_sequence A096306 A052441 A025602
Adjacent sequences: A023917 A023918 A023919 this_sequence A023921 A023922 A023923
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 29 2001
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