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A085432
a(n) = number of triangles ABC with side lengths (n, m, p) such that n, m, p are integers, 1 <= n <= m <= p, gcd(n, m, p) = 1, the Nagel point N of ABC lies on the incircle C(I, r).
0
1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 2, 6, 3, 4, 4, 8, 3, 9, 4, 6, 5, 11, 4
OFFSET
1,5
COMMENTS
3*n = m + p.
EXAMPLE
a(1) = 1; degenerate triangle (1, 1, 2).
a(2) = 1; triangle (2, 3, 3).
a(3) = 1; triangle (3, 4, 5).
a(4) = 1; triangle (4, 5, 7).
a(5) = 2; triangles (5, 6, 9) and (5, 7, 8).
CROSSREFS
Sequence in context: A241312 A075989 A304714 * A029169 A202090 A241760
KEYWORD
nonn,easy
AUTHOR
Philippe Deléham, Aug 13 2003
STATUS
approved