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A139265
Smaller of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares. For larger number see A139266.
1
0, 184, -1143896, 147916017521041, -49439318996063948240399, 53160561724398540948189501125090985
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)=184 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. A139266.
Sequence in context: A151586 A194614 A232915 * A243628 A353388 A262053
KEYWORD
sign
AUTHOR
Henry Bottomley, Apr 13 2008
STATUS
approved