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

1,2

Links

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

Formula

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

Crossrefs

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

Sequence in context: A106600 A085437 A024166 * A219003 A003197 A096045

Adjacent sequences: A103498 A103499 A103500 * A103502 A103503 A103504

Keyword

nonn

Author

Hugo Pfoertner, Feb 08 2005

Extensions

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

Status

approved