A024155 Number of integer-sided triangles with sides a,b,c, a<b<c, a+b+c=n that are right triangles.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0

Offset

1,60

Comments

Also number of right integer triangles with perimeter n having integral inradius. - Reinhard Zumkeller, May 05 2002

Every integer-sided right triangle has integer inradius. If the triple is [p^2-q^2,2pq,p^2+q^2] then inradius = pq-q^2. - Michael Somos, Sep 13 2005

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Incircle.

Eric Weisstein's World of Mathematics, Right Triangle.

R. Zumkeller, Integer-sided triangles

Formula

a(n) = A070201(n) - A070205(n) - A070206(n).

Crossrefs

Cf. A005044, A070093, A070101.

Sequence in context: A010106 A096159 A327166 * A251570 A292241 A352727

Adjacent sequences: A024152 A024153 A024154 * A024156 A024157 A024158

Keyword

nonn

Author

Clark Kimberling

Status

approved