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A139266
Larger of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares.
4
1, 345, 1562505, 184783370001360, 180972102858416484216240, 221277040503926652746669502425642824
OFFSET
0,2
COMMENTS
To be in lowest terms the two numbers do not need to be coprime, but their highest common factor does need to be squarefree.
LINKS
Andrew Bremner, "A Diophantine system", International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 413-415, 1986. doi:10.1155/S0161171286000522
EXAMPLE
a(1)=345 since 184 and 345 have the properties 184+345=529=23^2, 184^2+345^2=152881=391^2 and 184^3+345^3=47293129=6877^2.
CROSSREFS
Cf. A139265.
Sequence in context: A236731 A138043 A048904 * A063536 A045102 A225934
KEYWORD
nonn
AUTHOR
Henry Bottomley, Apr 13 2008
STATUS
approved