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A089060
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x = non-multiple of 7 such that xy/(x+y) is an integer and the hypotenuse of the right triangle with legs x and y is an integer.
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0
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85, 170, 184, 217, 255, 340, 368, 425, 434, 510, 552, 564, 651, 680, 736, 765, 781, 820, 850, 868, 920, 935, 1020, 1085, 1104, 1105, 1128, 1261, 1264, 1275, 1302, 1360, 1445, 1472, 1530, 1562, 1615, 1640, 1656, 1692, 1700, 1736, 1840, 1870, 1953, 1955, 2024
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OFFSET
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1,1
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LINKS
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EXAMPLE
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x=85,y=204, 85^2+204^2 = 221^2
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PROG
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(PARI) xydivxpynodiv7(n) = { for(x=1, n, for(y=x, n, h=x*y/(x+y); if(h==floor(h), z = sqrt(x^2+y^2); if(z==floor(z) && floor(z)%7, print1(x", ") ) ) ) ) }
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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