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, 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).

Links

Table of n, a(n) for n=0..7.

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

Adjacent sequences: A342350 A342351 A342352 * A342354 A342355 A342356

Keyword

nonn,more

Author

Peter Kagey, Mar 08 2021

Status

approved