A057649 Nearest integer to ratio of volume of n-dimensional cube of side 2 to volume of n-dimensional ball of radius 1.
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
Offset: 0
Keywords
References
- J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 9.
Formula
a(n) = 2^n*GAMMA(n/2+1)/Pi^(n/2).