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A135727
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Maximal value in orbit of n under the map A001281(x)=3x-1 if x odd, x/2 if x even.
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5
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0, 2, 2, 8, 4, 20, 8, 20, 8, 56, 20, 32, 12, 56, 20, 44, 16, 272, 56, 56, 20, 272, 32, 272, 24, 272, 56, 80, 28, 128, 44, 272, 32, 488, 272, 104, 56, 272, 56, 128, 40, 272, 272, 128, 44, 272, 272, 140, 48, 488, 272
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| On the set of positive integers, the orbit of any number under A001281 seems to end in the orbit of 2, of 20 or of 272, which are the respective maxima of these cycles. Since any odd number increases under the map A001281, all elements of this sequence are even.
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PROG
| (PARI) A135727(n)=local(m=n); if(n, while( n != 272 & n != 20 & n != 2, if( n%2, n=3*n-1; m=max(n, m), n>>=1))); m
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CROSSREFS
| Cf. A001281, A037084, A039500-A039505, A135728-A135730. A006370, A006577.
Sequence in context: A143625 A003612 A103839 * A075101 A075103 A021818
Adjacent sequences: A135724 A135725 A135726 * A135728 A135729 A135730
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KEYWORD
| nonn
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AUTHOR
| M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Nov 26 2007
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