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Search: id:A164619
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| 4, 15, 54, 75, 132, 169, 320, 459, 735, 847, 1104, 1250, 1764, 2175, 2904, 3179, 3780, 4107, 5200, 6027, 7425, 7935, 9024, 9604, 11492, 12879, 15162, 15979, 17700, 18605, 21504, 23595, 26979, 28175, 30672, 31974, 36100, 39039, 43740, 45387, 48804
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OFFSET
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1,1
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COMMENT
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The sequence members are the third of the average of a set of smallest cubes, if integer.
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EXAMPLE
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A third of the average of the first cube, A164577(1)/3=1/3, is not integer and does not contribute to the sequence.
A third of the average of the first two cubes, A164577(2)/3=4, is integer and defines a(1)=4 of the sequence.
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MATHEMATICA
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s=0; lst={}; Do[a=(s+=(n^3)/3)/n; If[Mod[a, 1]==0, AppendTo[lst, a]], {n, 2*5!}]; lst
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CROSSREFS
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Cf. A050248, A051456, A078617, A078618, A136116, A154293, A164286, A164576, A164577, A164578, A164579
Sequence in context: A057332 A162978 A071719 this_sequence A090326 A006234 A094821
Adjacent sequences: A164616 A164617 A164618 this_sequence A164620 A164621 A164622
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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), Aug 17 2009
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2009
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