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Search: id:A124655
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| A124655 |
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a(n) = n-th integer from among those positive integers k where every positive integers <= k and coprime to k is also coprime to n. |
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+0
1
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| 1, 2, 3, 6, 5, 24, 7, 14, 21, 70, 11, 60, 13, 140, 180, 30, 17, 96, 19, 170, 357, 352, 23, 132, 105, 494, 75, 336, 29, 840, 31, 62, 924, 850, 1050, 204, 37, 1064, 1287, 370, 41, 1638, 43, 836, 630, 1564, 47, 276, 301, 470, 2244, 1170, 53, 312, 2695, 728, 2793
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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The positive integers k, where every positive integer <= k and coprime to k is also coprime to 6, form the sequence 1,2,6,12,18,24,30,... So a(6) is the 6th of these integers, which is 24. (3, for example, is not among the sequence of k's because 2 is coprime to 3 and is <= 3, but 2 is not coprime to 6.)
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MATHEMATICA
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f[n_] := Select[Range[n], GCD[ #, n] == 1 &]; g[n_] := Block[{k = 0, c = n}, While[c > 0, k++; While[Times @@ GCD[f[k], n] > 1, k++ ]; c--; ]; k]; Table[g[n], {n, 60}] (*Chandler*)
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CROSSREFS
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Sequence in context: A098012 A066117 A156833 this_sequence A066838 A084678 A102402
Adjacent sequences: A124652 A124653 A124654 this_sequence A124656 A124657 A124658
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Dec 22 2006
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 24 2006
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