A138571 Arises in saturation points of a rational polyhedral cone.

16, 120, 560, 1796, 4064, 6440, 6956, 4898, 2104, 492, 48

Offset

1,1

References

Akimichi Takemura and Ruriko Yoshida, Saturation points on faces of a rational polyhedral cone, in Integer Points in Polyhedra -- Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics; Contemporary Mathematics 452, American mathematical Society, 2008, pp.147-161.

Links

Table of n, a(n) for n=1..11.

Akimichi Takemura and Ruriko Yoshida, Saturation points on faces of a rational polyhedral cone

Example

Table 1 of Takemura and Yoshida: Faces for 2 x 2 x 2 x 2 tables with three 2-marginals and a 3-marginal. The first column represents the dimension of faces, the second column represents the number of faces, the third column represents the number of nowhere saturated faces and the fourth column represents the number of almost saturated faces.
====================================================
Dimension.|.# of faces.|.# of nowhere.|.# of almost|
----------------------------------------------------
...11....|.....48.....|.......0......|.....48.....|
...10....|....492.....|.......0......|....492.....|
....9....|...2104.....|.......0......|...2104.....|
....8....|...4898.....|.......2......|...4896.....|
....7....|...6956.....|......16......|...6940.....|
....6....|...6440.....|......56......|...6384.....|
....5....|...4064.....|.....112......|...3952.....|
....4....|...1796.....|.....140......|...1656.....|
....3....|....560.....|.....112......|....448.....|
....2....|....120.....|......56......|.....64.....|
....1....|.....16.....|......16......|......0.....|
====================================================

Crossrefs

Sequence in context: A248621 A190049 A317227 * A047641 A010932 A374014

Adjacent sequences: A138568 A138569 A138570 * A138572 A138573 A138574

Keyword

nonn

Author

Jonathan Vos Post, May 12 2008

Status

approved