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A053585
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If n = p_1^e_1 * ... * p_k^e_k, p_1 < ... < p_k primes, then a(n) = p_k^e_k.
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12
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1, 2, 3, 4, 5, 3, 7, 8, 9, 5, 11, 3, 13, 7, 5, 16, 17, 9, 19, 5, 7, 11, 23, 3, 25, 13, 27, 7, 29, 5, 31, 32, 11, 17, 7, 9, 37, 19, 13, 5, 41, 7, 43, 11, 5, 23, 47, 3, 49, 25, 17, 13, 53, 27, 11, 7, 19, 29, 59, 5, 61, 31, 7, 64, 13, 11, 67, 17, 23, 7, 71, 9, 73, 37, 25, 19, 11, 13, 79
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Let p be the largest prime dividing n. a(n) is the largest power of p dividing n.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
| a(n) = A006530(n)^A071178(n). [Reinhard Zumkeller, Aug 27 2011]
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EXAMPLE
| a(42)=7 because 42=2*3*7, a(144)=9 because 144=16*9=2^4*3^2
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MATHEMATICA
| Table[Power @@ Last @ FactorInteger @ n, {n, 79}] (* From Jean-François Alcover, Apr 1 2011 *)
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CROSSREFS
| Cf. A020639, A006530, A034684, A028233, A034699, A053585. See also A051119.
Different from A034699.
Sequence in context: A081810 A071829 A067620 * A098988 A034699 A111615
Adjacent sequences: A053582 A053583 A053584 * A053586 A053587 A053588
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Frederick Magata (fmagata(AT)mi.uni-koeln.de), Jan 19 2000
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EXTENSIONS
| More terms from Andrew Gacek (andrew(AT)dgi.net), Apr 20 2000
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