A103428 (1/12)*Number of non-degenerate obtuse triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube.

0, 62, 1270, 11266, 63322, 266748, 915720, 2701073, 7077080, 16876415, 37242500, 77038188, 150862354, 281877711, 505585682, 874900010, 1466826558, 2390947859, 3799984292, 5903574820, 8984255594, 13418520513, 19700297034, 28470461533

Offset: 1

Author

Hugo Pfoertner, Feb 08 2005

Keywords

• nonn

Crossrefs

Cf. all triangles in lattice cube A103426; special triangles in lattice cube: A103427, A103429, A103499, A103500, A103501; A103158 tetrahedra in lattice cube.

Cf. A190020 (analogous 2-dimensional problem).