A089060 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.

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

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Example

x=85,y=204, 85^2+204^2 = 221^2

Prog

(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", ") ) ) ) ) }

Crossrefs

Sequence in context: A051992 A044255 A044636 * A037979 A044417 A044798

Adjacent sequences: A089057 A089058 A089059 * A089061 A089062 A089063

Keyword

nonn

Author

Cino Hilliard, Dec 02 2003

Status

approved