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A027859 Theta series of odd Leech lattice (the unique unimodular 24-dimensional lattice with minimal norm 3). +0
2
1, 0, 0, 4096, 98256, 1130496, 8384512, 45785088, 199066704, 726630400, 2314125312, 6606336000, 17213014208, 41497214976, 93722075136, 200284889088, 407539456080, 793560711168, 1487412428800, 2697313996800 (list; graph; listen)
OFFSET

0,4

REFERENCES

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

LINKS

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

FORMULA

theta_3(z)^24-48*theta_3(z)^16*Del8(z)+48*theta_3(z)^8*Del8(z)^2 where Del8(z)=[(theta_2(z)*theta_4(z))^4]/16 is the unique cusp form of weight 8 for G(2)... SPLAG p. 187

CROSSREFS

Adjacent sequences: A027856 A027857 A027858 this_sequence A027860 A027861 A027862

Sequence in context: A016996 A017068 A017260 this_sequence A017368 A016782 A017488

KEYWORD

nonn,easy,nice

AUTHOR

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

EXTENSIONS

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 16 2000

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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