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Search: id:A080842
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| A080842 |
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Numbers in the x/3+1 conjecture: Repeat if x is divisible by 3 divide by 3 else add 1 until 1 is reached. |
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+0
1
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| 1, 3, 1, 1, 5, 6, 2, 3, 1, 6, 2, 3, 1, 2, 3, 1, 8, 9, 3, 1, 9, 3, 1, 3, 1, 11, 12, 4, 5, 6, 2, 3, 1, 12, 4, 5, 6, 2, 3, 1, 4, 5, 6, 2, 3, 1, 14, 15, 5, 6, 2, 3, 1, 15, 5, 6, 2, 3, 1, 5, 6, 2, 3, 1, 17, 18, 6, 2, 3, 1, 18, 6, 2, 3, 1, 6, 2, 3, 1, 20, 21, 7, 8, 9, 3, 1, 21, 7, 8, 9, 3, 1, 7, 8, 9, 3, 1, 23, 24
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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These numbers converge to various last 3 digit endings and only two last 2 digit numbers: 2,1 or 3,1.
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EXAMPLE
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The trajectories starting at x=2, 3, 4 etc are (3,1), (1), (5,6,2,3,1), (6,2,3,1), (2,3,1), (8,9,3,1) etc. Each "1" marks the end of a trajectory.
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PROGRAM
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(PARI) mult3p1(n, p) = { print1(1" "); for(j=1, n, x=j; while(x>1, if(x%3==0, x/=3, x = x*p+1 ) ; print1(x" ") ; ); ) ; print1(" ") ; } { mult3p1(30, 1) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2008
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CROSSREFS
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Cf. A080828, A067433.
Sequence in context: A054142 A114172 A121522 this_sequence A119258 A099608 A047969
Adjacent sequences: A080839 A080840 A080841 this_sequence A080843 A080844 A080845
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KEYWORD
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easy,nonn,tabf
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Mar 28 2003
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EXTENSIONS
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Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2008
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