A024155 - OEIS

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

	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	`Table of n, a(n) for n=1..100.` `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	`Sequence in context: A067898 A010106 A096159 * A173667 A086008 A083910` `Adjacent sequences: A024152 A024153 A024154 * A024156 A024157 A024158`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling`
	STATUS	`approved`

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Last modified May 24 19:33 EDT 2013. Contains 225630 sequences.