OFFSET
1,2
COMMENTS
The values of A077116, sorted and duplicates removed.
Note that the values have been generated with a finite search radius and are not proved to be complete. [R. J. Mathar, Oct 09 2009]
Except for the leading 0, a subsequence of A229618 which is in turn (except for the initial 1) a subsequence of A106265. The values {15, 18, 25, 44, 54, 61, 71, 72, 87, 106, 112, 118, 126, 127,...} are in A229618 but not in the present sequence. Using results from A179386, it should be possible to prove that the sequence is complete up to a given point. - M. F. Hasler, Sep 26 2013
EXAMPLE
The gap 0 appears in 1^3-1^2 or 4^3-8^2 etc.
The gap 2 appears for example in 3^3-5^2.
The gap 4 appears for example in 2^3-2^2 or 5^3-11^2.
The gap 19 appears in 7^3-18^2, the gap 20 in 6^3-14^2.
MATHEMATICA
lst={}; Do[a=n^3-Floor[Sqrt[n^3]]^2; If[a<=508, AppendTo[lst, a]], {n, 2*8!}]; Take[Union@lst, 90]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Joseph Stephan Orlovsky, Sep 13 2009
EXTENSIONS
Edited by R. J. Mathar, Oct 09 2009
Name corrected by M. F. Hasler, Oct 05 2013
STATUS
approved