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Search: id:A119862
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| A119862 |
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Smallest number not yet used that is either a divisor or multiple of both n and a(n-1). |
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+0
1
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| 1, 2, 6, 12, 60, 3, 21, 168, 504, 2520, 27720, 4, 52, 364, 5460, 21840, 371280, 1113840, 21162960, 5, 105, 2310, 53130, 212520, 1062600, 13813800, 124324200, 7, 203, 6090, 188790, 3020640, 33227040, 564859680, 35, 1260, 46620, 885780, 11515140, 10, 410
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is apparently the smallest divisor of gcd(n,a(n-1)) not yet used if such exists, or lcm(n,a(n-1)) otherwise. This is a permutation of the positive integers. The required lemma is that there are arbitrarily long sequences where a(n) = lcm(n,a(n-1)).
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CROSSREFS
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Sequence in context: A164859 A152873 A083001 this_sequence A111936 A002805 A117481
Adjacent sequences: A119859 A119860 A119861 this_sequence A119863 A119864 A119865
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KEYWORD
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nonn
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 31 2006
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