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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.
8
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
1,2
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).
Sequence in context: A249235 A250564 A231027 * A248450 A115504 A296359
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Feb 08 2005
STATUS
approved