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 A205787 Least positive integer k such that n divides k^3-j^3 for some j in [1,k-1]. 1
 2, 3, 4, 4, 6, 7, 2, 4, 4, 11, 12, 8, 3, 4, 16, 6, 18, 7, 3, 12, 4, 23, 24, 8, 10, 3, 6, 4, 30, 31, 5, 8, 34, 35, 9, 8, 4, 6, 5, 12, 42, 8, 6, 24, 16, 47, 48, 14, 5, 15, 52, 6, 54, 9, 56, 4, 7, 59, 60, 32, 5, 5, 4, 8, 14, 67, 7, 36, 70, 11, 72, 8, 8, 8, 20, 6, 15, 9, 7, 22, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For a guide to related sequences, see A204892. 1 divides 2^3-1^3 -> k=2, j=1 2 divides 3^3-1^3 -> k=3, j=1 3 divides 4^3-1^3 -> k=4, j=3 4 divides 4^3-2^3 -> k=4, j=2 5 divides 6^3-1^3 -> k=6, j=1 LINKS EXAMPLE s = Table[n^3, {n, 1, 120}] ; lk = Table[   NestWhile[# + 1 &, 1,    Min[Table[Mod[s[[#]] - s[[j]], z], {j, 1, # - 1}]] =!= 0 &], {z, 1,     Length[s]}] Table[NestWhile[# + 1 &, 1,   Mod[s[[lk[[j]]]] - s[[#]], j] =!= 0 &], {j, 1, Length[lk]}] (* Peter J. C. Moses, Jan 27 2012 *) MATHEMATICA Cf. A204892. CROSSREFS Sequence in context: A179276 A213635 A218443 * A072455 A177862 A066981 Adjacent sequences:  A205784 A205785 A205786 * A205788 A205789 A205790 KEYWORD nonn AUTHOR Clark Kimberling, Feb 01 2012 STATUS approved

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Last modified October 23 18:36 EDT 2018. Contains 316529 sequences. (Running on oeis4.)