A103501 (1/8)*number of equilateral triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube.

1, 10, 46, 158, 431, 974, 2022, 3837, 6777, 11263, 17947, 27541, 40835, 58904, 83081, 114543, 155232, 206901, 271573, 351583, 449833, 569225, 712847, 884408, 1088136, 1328616, 1610007, 1937077, 2315434, 2750476, 3250073, 3820925, 4469597

Offset: 1

Author

Hugo Pfoertner, Feb 08 2005

Keywords

• nonn

Links

• Ray Chandler, Table of n, a(n) for n = 1..100

Crossrefs

Cf. all triangles in lattice cube A103426; special triangles in lattice cube: A103427, A103428, A103429, A103499, A103500; A103158 tetrahedra in lattice cube.

Formula

a(n) = A102698(n)/8.

Extensions

a(32)-a(100) from Ray Chandler, Sep 15 2007