OFFSET
1,1
COMMENTS
The equation x^3 + y^3 = 2*z^3 has no integer solution triple (x, y, z) for x > y and z is nonzero. So this sequence focuses on the equation x^3 + y^3 = 2*(z^3 - 1) where x, y > 0.
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..66
EXAMPLE
2305 is a term because it is not a square and 2305^3 - 1 = (144^3 + 2904^3) / 2.
PROG
(PARI) isA003325(n) = for(k=1, sqrtnint(n\2, 3), ispower(n-k^3, 3) && return(1));
lista(nn) = for(n=1, nn, if(isA003325(2*(n^3-1)) && !issquare(n), print1(n, ", ")));
CROSSREFS
KEYWORD
nonn
AUTHOR
Altug Alkan, Jun 29 2016
EXTENSIONS
a(9)-a(25) from Chai Wah Wu, Aug 07 2020
a(26)-a(31) from Chai Wah Wu, Jun 30 2025
STATUS
approved