The difference of the cubes of two non-negative successive integers is a square of an integer.
Find few possible pairs.
How about a general formula or evaluation algorithm
(In reply to computer exploration
I noticed the last numbers on each line get larger by a factor of about 13.9 each time, so I ran a similar program to investigate this more and found this factor converging to some limit -- I wonder what it is exactly? Here is the output of my program:
8 13 13
105 181 13.9230769
1456 2521 13.9281768
20273 35113 13.9282031
282360 489061 13.9282032
3932761 6811741 13.9282032