OFFSET
1,3
COMMENTS
Conjecture I: Natural density of this sequence is 1.
Conjecture II: Any sufficiently large n is in the sequence.
Conjecture III: There is a fixed value of t such that all integers >= t are terms.
If k is of the form x^2 + y^3 + z^6 then so is k*m^6 = (x*m^3)^2 + (y*m^2)^3 + (z*m)^6. - David A. Corneth, Aug 13 2020
LINKS
David A. Corneth, PARI program
EXAMPLE
6 is a term since 6! = 12^2 + 8^3 + 2^6.
PROG
(PARI) \\ See Corneth link. David A. Corneth, Aug 13 2020
CROSSREFS
KEYWORD
nonn,more,changed
AUTHOR
Altug Alkan, Aug 12 2020
EXTENSIONS
a(12)-a(18) from David A. Corneth, Aug 12 2020
STATUS
approved