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Search: id:A165288
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| A165288 |
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Possible values of the gap between a square and the smallest cube not smaller than the square. |
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+0
4
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| 0, 2, 4, 7, 11, 13, 19, 20, 26, 28, 35, 39, 40, 45, 47, 48, 49, 53, 55, 56, 60, 63, 67, 74, 76, 79, 81, 83, 100, 104, 107, 109, 116, 135, 139, 146, 147, 148, 150, 152, 155, 170, 174, 180, 184, 186, 191, 193, 200, 207, 212, 215, 216, 233, 235, 242, 244, 251, 270, 277
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The values of A077116, sorted and duplicates removed.
Note that the values have been generated with a finite search radius and are not proven to be complete. [R. J. Mathar, Oct 09 2009]
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EXAMPLE
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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.
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MATHEMATICA
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lst={}; Do[a=n^3-Floor[Sqrt[n^3]]^2; If[a<=508, AppendTo[lst, a]], {n, 2*8!}]; Take[Union@lst, 90]
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CROSSREFS
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Sequence in context: A106265 A087285 A107791 this_sequence A086795 A064690 A138766
Adjacent sequences: A165285 A165286 A165287 this_sequence A165289 A165290 A165291
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 13 2009
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 09 2009
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