OFFSET
1,2
COMMENTS
Cube root of A179149.
Contains all squares: suppose that y^2 = x^3 + t^6, then (y/t^3)^2 = (x/t^2)^3 + 1. The elliptic curve Y^2 = X^3 + 1 has rank 0 and the only rational points on it are (-1,0), (0,+-1), and (2,+-3), so y^2 = x^3 + t^6 has 5 solutions (-t^2,0), (0,+-t^3), and (2*t^2,+-3*t^3).
EXAMPLE
1 is a term since the equation y^2 = x^3 + 1^3 has 5 solutions (-1,0), (0,+-1), and (2,+-3).
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Jianing Song, Aug 23 2022
EXTENSIONS
a(31)-a(35) from Max Alekseyev, Jun 01 2023
STATUS
approved