A165289 - OEIS

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A165289

Nonnegative integers of the form m^2 - floor(m^(2/3))^3 where m is a positive integer.

0, 1, 3, 8, 9, 12, 15, 17, 18, 19, 22, 24, 30, 36, 37, 38, 40, 44, 55, 57, 64, 65, 68, 71, 73, 79, 80, 89, 97, 98, 100, 101, 106, 107, 108, 112, 113, 119, 121, 128, 129, 138, 141, 145, 148, 151, 154, 156, 161, 163, 164, 168, 169, 171, 172, 190, 196, 197, 198, 204, 208

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OFFSET

1,3

COMMENTS

The positive terms form a subsequence of A087286. Some terms of A087286 are missing here, the smallest such number being 3781 = (6^3)^2 - (6^2-1)^3. [From Max Alekseyev, Jun 19 2011]

LINKS

Table of n, a(n) for n=1..61.

MATHEMATICA

lst={}; Do[a=(x=n^2)-(y=Floor[(n^2)^(1/3)]^3); If[a<=416, AppendTo[lst, a]], {n, 8!}]; Take[Union@lst, 100]

CROSSREFS

Cf. A087286, A165288.

Sequence in context: A084387 A080761 A087286 * A066494 A082721 A239388

Adjacent sequences: A165286 A165287 A165288 * A165290 A165291 A165292

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Sep 13 2009

EXTENSIONS

Minor edits by N. J. A. Sloane, Oct 24 2009

Definition corrected by Max Alekseyev, Jun 19 2011

STATUS

approved