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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

3*n = m + p.

LINKS

Table of n, a(n) for n=1..24.

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

Adjacent sequences:  A085429 A085430 A085431 * A085433 A085434 A085435

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Aug 13 2003

STATUS

approved

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Last modified June 5 16:19 EDT 2020. Contains 334852 sequences. (Running on oeis4.)