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A125717
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a(1)=1. a(n) = the smallest positive integer not occurring earlier in the sequence such that a(n-1) is congruent to a(n) (mod n).
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2
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1, 3, 6, 2, 7, 13, 20, 4, 22, 12, 23, 11, 24, 10, 25, 9, 26, 8, 27, 47, 5, 49, 72, 48, 73, 21, 75, 19, 77, 17, 79, 15, 81, 115, 45, 117, 43, 119, 41, 121, 39, 123, 37, 125, 35, 127, 33, 129, 31, 131, 29, 133, 80, 134, 189, 245, 74, 16, 193, 253, 70, 132, 69, 197, 67, 199, 65
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This sequence seems likely to be a permutation of the positive integers.
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LINKS
| Ferenc Adorjan, Table of n,a(n) for n=1,10000
Ferenc Adorjan, Some characteristics of Leroy Quet's permutation sequences
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MATHEMATICA
| f[l_List] := Block[{n = Length[l] + 1, k = Mod[l[[ -1]], n, 1]}, While[MemberQ[l, k], k += n]; Append[l, k]]; Nest[f, {1}, 70] (*Chandler*)
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PROG
| (PARI) {Quet_p2(n)=/* Permutation sequence a'la Leroy Quet, A125717 */local(x=[1], k=0, w=1); for(i=2, n, if((k=x[i-1]%i)==0, k=i); while(bittest(w, k-1)>0, k+=i); x=concat(x, k); w+=2^(k-1)); return(x)} [Ferenc Adorjan]
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CROSSREFS
| Sequence in context: A169750 A072007 A078783 * A065232 A074170 A076543
Adjacent sequences: A125714 A125715 A125716 * A125718 A125719 A125720
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Feb 01 2007
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 04 2007
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