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A089058
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Numbers x such that xy/(x+y) is an integer for integers y=x,x+1,..n.
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0
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2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 18, 18, 18, 18, 18, 18, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| xy/(x+y) is the side of the inscribed square of a right triangle with integer legs x and y.
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EXAMPLE
| x=20,y=5, 100/25 = integer 4.
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PROG
| (PARI) xydivxpy(n) = { for(x=1, n, for(y=x, n, h=x*y/(x+y); if(h==floor(h), print1(x", "); ) ) ) }
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CROSSREFS
| Sequence in context: A108872 A147847 A126974 * A187103 A080444 A082288
Adjacent sequences: A089055 A089056 A089057 * A089059 A089060 A089061
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Dec 02 2003, corrected Nov 23 2006
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