id:A070787 - OEIS Search Results

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Number of triangles with sides whose squares are integers and with positive integer area and longest side of length sqrt(n).

+0
5

0, 0, 0, 1, 2, 0, 0, 2, 1, 4, 0, 1, 3, 0, 2, 5, 5, 2, 0, 13, 0, 0, 0, 2, 9, 8, 1, 1, 9, 4, 0, 10, 0, 10, 2, 12, 11, 0, 3, 23, 14, 0, 0, 1, 13, 0, 0, 5, 5, 18, 5, 32, 18, 2, 2, 2, 0, 19, 0, 13, 16, 0, 1, 20, 35, 0, 0, 42, 0, 4, 0, 23, 24, 23, 9, 1, 0, 8, 0, 44, 10, 27, 0, 1, 48, 0, 9, 2, 27, 25, 3 (list; graph; listen)

	OFFSET	`1,5`
	LINKS	`A. Bogomolny, Sam Loyd's Geometric Puzzle`
	EXAMPLE	`a(13)=3 since the 3 triangles with sides {sqrt(13), sqrt(5), sqrt(4)}, {sqrt(13), sqrt(8), sqrt(1)} and {sqrt(13), sqrt(9), sqrt(4)} have areas 2, 1 and 3 respectively.`
	CROSSREFS	`Cf. A054875, A070783, A070784, A070785, A070786.` `Sequence in context: A029303 A130457 A130454 this_sequence A033985 A122071 A099766` `Adjacent sequences: A070784 A070785 A070786 this_sequence A070788 A070789 A070790`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 07 2002`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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