A178797 Number of regular octahedra that can be formed using the points in an (n+1)X(n+1)X(n+1) lattice cube.

0, 1, 8, 32, 104, 261, 544, 1000, 1696, 2759, 4296, 6434, 9352, 13243, 18304, 24774, 32960, 43223, 55976, 71752, 90936, 113973, 141312, 173436, 210960, 254587, 305000, 364406, 432824, 511421, 600992, 702556, 817200, 946131, 1090392, 1251238

Offset

1,3

Links

Eugen J. Ionascu, Table of n, a(n) for n = 1..100

Eugen J. Ionascu, Counting all regular octahedra in {0,1,...,n}^3, arXiv:1007.1655 [math.NT], 2010.

Eugen J. Ionascu, Andrei Markov, Platonic solids in Z^3, Journal of Number Theory, Volume 131, Issue 1, January 2011, Pages 138-145.

Example

a(2)=1 because there is 1 way to form a regular octahedron using points of a {0,1,2}^3 lattice cube.

Crossrefs

Cf. A102698, A103158, A098928.

Sequence in context: A241204 A195590 A071345 * A357285 A100312 A302507

Adjacent sequences: A178794 A178795 A178796 * A178798 A178799 A178800

Keyword

nonn

Author

Eugen J. Ionascu, Jun 15 2010

Extensions

Edited by Ray Chandler, Jul 27 2010

Status

approved