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A038500
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Highest power of 3 dividing n.
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19
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1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 27, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 27, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 81
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| To construct the sequence: start with 1 and concatenate twice: 1,1,1 then triple the last term gives: 1,1,3. Concatenate those 3 terms twice gives: 1,1,3,1,1,3,1,1,3, triple the last term -> 1,1,3,1,1,3,1,1,9. Concatenate those 9 terms twice gives: 1,1,3,1,1,3,1,1,9,1,1,3,1,1,3,1,1,9,1,1,3,1,1,3,1,1,9, triple the last term -> 1,1,3,1,1,3,1,1,9,1,1,3,1,1,3,1,1,9,1,1,3,1,1,3,1,1,27 etc. - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 17 2002
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LINKS
| Z. Sunic, Tree morphisms, transducers and integer sequences
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FORMULA
| Multiplicative with a(p^e) = if p = 3, then 3^e, else 1. - Mitch Harris, Apr 19 2005.
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MAPLE
| A038500 := n -> 3^padic[ordp](n, 3): [Peter Luschny, Nov 26 2010]
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PROG
| (PARI) a(n)=3^valuation(n, 3)
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CROSSREFS
| Cf. A007949.
Sequence in context: A202338 A139002 A139378 * A091840 A083985 A109848
Adjacent sequences: A038497 A038498 A038499 * A038501 A038502 A038503
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KEYWORD
| nonn,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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