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A178797 Number of regular octahedra that can be formed using the points in an (n+1)X(n+1)X(n+1) lattice cube. 2
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 (list; graph; refs; listen; history; text; internal format)
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 * A100312 A302507 A204643

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

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Last modified June 29 18:25 EDT 2022. Contains 354913 sequences. (Running on oeis4.)