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Search: id:A114861
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| A114861 |
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a(n) is smallest positive integer not among the earlier terms of the sequence, not equal to n, and which is coprime to its adjacent terms in the sequence. |
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+0
4
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| 2, 1, 4, 3, 7, 5, 6, 11, 8, 9, 10, 13, 12, 17, 14, 15, 16, 19, 18, 23, 20, 21, 22, 25, 24, 29, 26, 27, 28, 31, 30, 37, 32, 33, 34, 35, 36, 41, 38, 39, 40, 43, 42, 47, 44, 45, 46, 49, 48, 53, 50, 51, 52, 55, 54, 59, 56, 57, 58, 61, 60, 67, 62, 63, 64, 65, 66, 71, 68, 69, 70, 73
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequence is a permutation of the positive integers. (Inverse permutation is sequence A114862.)
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EXAMPLE
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a(8) = 11 since 11 is the smallest positive integer not among the first 7 terms of the sequence, not equal to 8, and which is coprime to a(7) = 6.
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MATHEMATICA
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f[l_] := Block[{k = 1}, While[k == Length[l] + 1 || MemberQ[l, k] || GCD[k, Last[l]] > 1, k++ ]; Return[Append[l, k]]; ]; Nest[f, {}, 76] (*Chandler*)
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CROSSREFS
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Cf. A114862.
Sequence in context: A077960 A077912 A077963 this_sequence A086512 A120751 A054082
Adjacent sequences: A114858 A114859 A114860 this_sequence A114862 A114863 A114864
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Jan 02 2006
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net) and Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 02 2006
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