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A342353
Number of ways to choose 3 points that form an equilateral triangle from the A001845(n) points in a regular octahedral grid of size n.
0
0, 8, 80, 416, 1512, 4216, 10000, 21256
OFFSET
0,2
COMMENTS
The octahedral grid of side length n is the set of points (x,y,z) in Z^3 such that |x|+|y|+|z| <= n. The number of points in this grid is given by A001845(n).
EXAMPLE
For n = 1, the a(1) = 8 equilateral triangles are given by the convex hulls of {(+-1,0,0),(0,+-1,0),(0,0,+-1)}.
CROSSREFS
Cf. A001845.
Cf. A102698 and A334581 are analogous for the cubic grid and tetrahedral grid respectively.
Sequence in context: A173116 A102698 A190019 * A055346 A159710 A271555
KEYWORD
nonn,more
AUTHOR
Peter Kagey, Mar 08 2021
STATUS
approved