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A050985
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Cubefree part of n.
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10
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1, 2, 3, 4, 5, 6, 7, 1, 9, 10, 11, 12, 13, 14, 15, 2, 17, 18, 19, 20, 21, 22, 23, 3, 25, 26, 1, 28, 29, 30, 31, 4, 33, 34, 35, 36, 37, 38, 39, 5, 41, 42, 43, 44, 45, 46, 47, 6, 49, 50, 51, 52, 53, 2, 55, 7, 57, 58, 59, 60, 61, 62, 63, 1, 65, 66, 67, 68, 69, 70, 71, 9, 73, 74, 75
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..1000
H. Bottomley, Some Smarandache-type multiplicative sequences
Eric Weisstein's World of Mathematics, Cubefree part.
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FORMULA
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Multiplicative with p^e -> p^(e mod 3), p prime. [From Reinhard Zumkeller, Nov 22 2009]
Dirichlet g.f. zeta(3s)*zeta(s-1)/zeta(3s-3). - R. J. Mathar, Feb 11 2011
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MATHEMATICA
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cf[n_]:=Module[{tr=Transpose[FactorInteger[n]], ex, cb}, ex= tr[[2]]- Mod[ tr[[2]], 3]; cb=Times@@(First[#]^Last[#]&/@Transpose[{tr[[1]], ex}]); n/cb]; Array[cf, 75] (* Harvey P. Dale, Jun 03 2012 *)
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CROSSREFS
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Cf. A007913, A008834, A053165.
Sequence in context: A033928 A194754 A167972 * A056192 A030107 A037895
Adjacent sequences: A050982 A050983 A050984 * A050986 A050987 A050988
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KEYWORD
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nonn,easy,mult
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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