A270578 - OEIS

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A270578

The number of distinct planes defined by an n X n X n grid of points.

%I #9 Aug 27 2024 14:57:40

%S 20,491,7502,52013,297464,1119791,3900890,11135201,29329232

%N The number of distinct planes defined by an n X n X n grid of points.

%e The 8 points of the 2 X 2 X 2 grid define 20 planes: the 6 faces of the cube, 6 planes formed by an edge and its opposite edge, and 8 planes defined by the three vertices surrounding a given vertex. So, a(2)=20.

%Y Cf. A222267, A270579.

%K nonn,more

%O 2,1

%A _Clive Tooth_, Mar 19 2016