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URL: https://oeis.org/A193303

⇱ A193303 - OEIS


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A193303
Squarefree numbers multiplied by powers of three.
1
1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93
OFFSET
1,2
COMMENTS
The asymptotic density of this sequence is 27/(4*Pi^2). - Amiram Eldar, Oct 01 2020
LINKS
MATHEMATICA
lim = 102; sf = Select[Range[lim], SquareFreeQ]; lim3 = 3^Range[0, Log[3, lim]]; Select[Union[Flatten[Outer[Times, sf, lim3]]], # <= lim &]
PROG
(PARI) is(n)=issquarefree(n/3^valuation(n, 3)) \\ Charles R Greathouse IV, Jul 31 2011
CROSSREFS
Cf. A000244 (powers of 3), A005117 (squarefree numbers).
Sequence in context: A048103 A276078 A387181 * A285465 A092418 A004195
KEYWORD
nonn,easy
AUTHOR
STATUS
approved