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Search: id:A118317
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| A118317 |
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a(2n-1)= smallest positive integer not occurring among the earlier terms of the sequence. a(2n) = the a(n)th positive integer among those positive integers not occurring earlier in the sequence. |
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+0
4
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| 1, 2, 3, 5, 4, 8, 6, 12, 7, 13, 9, 19, 10, 18, 11, 27, 14, 23, 15, 32, 16, 29, 17, 42, 20, 34, 21, 45, 22, 38, 24, 58, 25, 46, 26, 57, 28, 50, 30, 71, 31, 54, 33, 72, 35, 60, 36, 89, 37, 66, 39, 84, 40, 70, 41, 100, 43, 76, 44, 96, 47, 81, 48, 121, 49, 86, 51, 112, 52, 91, 53
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sequence is a permutation of the positive integers.
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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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For a(8) we want the a(4)th = 5th positive integer among those not equal to any of the first 7 terms of the sequence (those positive integers not equal to 1,2,3,5,4,8, or 6). Among those positive integers not equal to any the first 7 terms (which is the sequence 7,9,10,11,12,13...), 12 is the 5th. So a(8) = 12.
Now for a(9) we want the smallest positive integer that does not occur among the first 8 terms of the sequence. So a(9) = 7.
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CROSSREFS
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Cf. A118315, A118316, A118318.
Sequence in context: A126917 A086496 A102398 this_sequence A127522 A048673 A096070
Adjacent sequences: A118314 A118315 A118316 this_sequence A118318 A118319 A118320
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KEYWORD
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easy,nonn
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AUTHOR
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Leroy Quet Apr 23 2006
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 06 2006
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