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A070787
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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).
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4
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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; refs; listen; history; internal format)
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OFFSET
| 1,5
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LINKS
| A. Bogomolny, Sam Loyd's Geometric Puzzle
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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.
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CROSSREFS
| Cf. A054875, A070783, A070784, A070785, A070786.
Sequence in context: A029303 A130457 A130454 * A033985 A122071 A099766
Adjacent sequences: A070784 A070785 A070786 * A070788 A070789 A070790
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), May 07 2002
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