A155745 a(n) = number of distinct (n+1)- nonnegative integer vectors describing, up to symmetry, the hyperplanes of the real n-dimensional cube.

1, 1, 2, 3, 7, 21, 143

Offset

1,3

Comments

Related to the sequence a'(n): 1,1,2,3,7,21,131. The sequence a'(n) has a recursive definition.

The following holds: a(n)>a'(n) for n>6.

References

Ilda P. F. da Silva, Recursivity and geometry of the hypercube, Linear Algebra and its Apllications, 397(2005),223-233

Links

Table of n, a(n) for n=1..7.

Example

For n=3 a(3)=2 because the 2 vectors (0,0,1,1) and (1,1,1,1) describe all the real planes spanned by the points of {-1,1}^3.

Crossrefs

Cf. A007847

Sequence in context: A189360 A001532 A109456 * A067738 A296287 A187014

Adjacent sequences: A155742 A155743 A155744 * A155746 A155747 A155748

Keyword

hard,nonn

Author

Ilda P. F. da Silva (isilva(AT)cii.fc.ul.pt), Jan 26 2009

Status

approved