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A007362 Denominator of n-th power of Hermite constant for dimension n.
(Formerly M2209)
+0
2
1, 3, 1, 1, 1, 3, 1, 1 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

J. W. S. Cassels, An Introduction to the Geometry of Numbers. Springer-Verlag, NY, 2nd ed., 1971, p. 332.

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 20.

P. M. Gruber and C. G. Lekkerkerker, Geometry of Numbers, North-Holland, Amsterdam, 2nd ed., 1987, p. 410.

LINKS

H. Cohn and A. Kumar, Optimality and uniqueness of the Leech lattice among lattices

H. Cohn and A. Kumar, The densest lattice in twenty-four dimensions

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

1, 4/3, 2, 4, 8, 64/3, 64, 256, ... = A007361/A007362

CROSSREFS

Cf. A007361.

Sequence in context: A068153 A039993 A075053 this_sequence A060268 A030328 A093148

Adjacent sequences: A007359 A007360 A007361 this_sequence A007363 A007364 A007365

KEYWORD

nonn,hard,nice,frac

AUTHOR

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

EXTENSIONS

From the work of Cohn and Kumar we know that a(24) = 1.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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