OFFSET
1,1
COMMENTS
No cube should appear in two or more sums. 5104 = 15^3 + 10^3 + 9^3 = 15^3 + 12^3 + 1^3 = 16^3 + 10^3 + 2^3 is not a(3), because 15^3 appears in more than one sum.
LINKS
Gleb Ivanov, Rust program for large terms.
Gleb Ivanov, Python program.
EXAMPLE
a(1) = 36 = 1^3 + 2^3 + 3^3.
a(2) = 1009 = 1^3 + 2^3 + 10^3 = 4^3 + 6^3 + 9^3.
a(3) = 12384 = 1^3 + 6^3 + 23^3 = 2^3 + 12^3 + 22^3 = 15^3 + 16^3 + 17^3.
MATHEMATICA
Monitor[Do[k=1; While[Length@Union@Flatten[p=PowersRepresentations[k, 3, 3]]!=n*3||Length@p!=n||MemberQ[Flatten@p, 0], k++]; Print@k, {n, 10}], k] (* Giorgos Kalogeropoulos, Sep 03 2021 *)
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Gleb Ivanov, Aug 29 2021
EXTENSIONS
a(13)-a(15) from Jon E. Schoenfield, Sep 02 2021
a(16)-a(22) from Gleb Ivanov, Sep 12 2021
STATUS
approved