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A005129 Theta series of {E_6}* lattice.
(Formerly M5309)
2
1, 0, 54, 72, 0, 432, 270, 0, 918, 720, 0, 2160, 936, 0, 2700, 2160, 0, 5184, 2214, 0, 5616, 3600, 0, 9504, 4590, 0, 9180, 6552, 0, 15120, 5184, 0, 14742, 10800, 0, 21600, 9360, 0, 19548, 12240 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 127.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

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.

G. Nebe and N. J. A. Sloane, Home page for this lattice

CROSSREFS

Cf. A004007 (E_6).

Sequence in context: A025331 A025323 A157934 * A039532 A007244 A114817

Adjacent sequences:  A005126 A005127 A005128 * A005130 A005131 A005132

KEYWORD

nonn,nice,easy,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 13 11:28 EST 2012. Contains 205466 sequences.