A070206 Number of obtuse integer triangles with perimeter n having integral inradius.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 1, 0, 0

Offset

1,84

Comments

a(n) = A070201(n) - A024155(n) - A070205(n).

References

Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32. Solution published in Vol. 16, Issue 2, November 2008, p. 32.

Links

Table of n, a(n) for n=1..90.

Eric Weisstein's World of Mathematics, Incircle.

Eric Weisstein's World of Mathematics, Obtuse Triangle.

R. Zumkeller, Integer-sided triangles

Crossrefs

Cf. A070141, A070101.

Sequence in context: A274948 A005925 A333037 * A228368 A267701 A128975

Adjacent sequences: A070203 A070204 A070205 * A070207 A070208 A070209

Keyword

nonn

Author

Reinhard Zumkeller, May 05 2002

Status

approved