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A135727 Maximal value in orbit of n under the map A001281(x)=3x-1 if x odd, x/2 if x even. +0
5
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; listen)
OFFSET

0,2

COMMENT

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.

PROGRAM

(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

CROSSREFS

Cf. A001281, A037084, A039500-A039505, A135728-A135730. A006370, A006577.

Sequence in context: A134812 A003612 A103839 this_sequence A075101 A075103 A021818

Adjacent sequences: A135724 A135725 A135726 this_sequence A135728 A135729 A135730

KEYWORD

nonn

AUTHOR

M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Nov 26 2007

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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