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A007361 Numerator of n-th power of Hermite constant for dimension n.
(Formerly M3201)
2
1, 4, 2, 4, 8, 64, 64, 256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Iskander Aliev, On the lattice programming gap of the group problems, Operations Research Letters 43 (2015) 199-202

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.

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

LINKS

Table of n, a(n) for n=1..8.

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, Hermite Constants.

EXAMPLE

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

CROSSREFS

Cf. A007362.

Sequence in context: A154793 A016693 A137718 * A128136 A048147 A203001

Adjacent sequences:  A007358 A007359 A007360 * A007362 A007363 A007364

KEYWORD

nonn,hard,nice,frac

AUTHOR

N. J. A. Sloane.

EXTENSIONS

From the work of Cohn and Kumar we know that a(24) = 4^24 = 281474976710656.

STATUS

approved

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Last modified November 20 14:54 EST 2019. Contains 329337 sequences. (Running on oeis4.)