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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

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

njas

EXTENSIONS

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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