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A057649 Nearest integer to ratio of volume of n-dimensional cube of side 2 to volume of n-dimensional ball of radius 1. +0
2
1, 1, 1, 2, 3, 6, 12, 27, 63, 155, 402, 1087, 3068, 8996, 27340, 85905, 278485, 929713, 3191201, 11245603, 40631628, 150342633, 569071745, 2201355134, 8694775795, 35035655103, 143916920872, 602218550964, 2565370007349, 11118142868084, 48994958103507 (list; graph; listen)
OFFSET

0,4

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 9.

FORMULA

2^n*GAMMA(n/2+1)/Pi^(n/2).

CROSSREFS

Cf. A072168, A072345, A072346.

Sequence in context: A108915 A082395 A061343 this_sequence A104872 A006082 A122889

Adjacent sequences: A057646 A057647 A057648 this_sequence A057650 A057651 A057652

KEYWORD

nonn

AUTHOR

njas, Sep 06 2003

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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