id:A024155 - OEIS Search Results

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

+0
13

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; listen)

	OFFSET	`1,60`
	COMMENT	`Also number of right integer triangles with perimeter n having integral inradius. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 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	`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 this_sequence A086008 A083910 A069843` `Adjacent sequences: A024152 A024153 A024154 this_sequence A024156 A024157 A024158`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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