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Search: id:A075478
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| A075478 |
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Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+27. Corresponds to selection of every 16th term from A074474. |
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+0
2
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| 97, 74, 66, 14, 40, 17, 25, 14, 22, 27, 40, 14, 45, 27, 17, 14, 40, 38, 27, 14, 56, 17, 20, 14, 22, 27, 30, 14, 100, 30, 17, 14, 22, 33, 20, 14, 22, 17, 30, 14, 20, 30, 53, 14, 38, 20, 17, 14, 51, 25, 66, 14, 35, 17, 22, 14, 25, 20, 64, 14, 38, 40, 17, 14, 45, 25, 22, 14, 27
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Remark that initial values of form 64m+r, if r={3,11,19,27,35,43,51,55} provide first-sink-lengths {7,9,7,9,7,9,7,9} respectively; e.g. {64k+19,192k+58,96k+29,288k+88,144k+44,72k+22,36k+11} submerge first below initial value at the 7th term,36k+11<64k+19.
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FORMULA
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a(n)=A075473[64n+27], n=0, ..., 256
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EXAMPLE
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n=0: 64n+27=27, list={27, 82, 41, 46.23.70, ..}, i.e. the 97th term is the first that <27, the initial value.
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CROSSREFS
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Cf. A074473, A074474, A075476-A075482, A006370.
Sequence in context: A068830 A033417 A088866 this_sequence A126146 A112667 A106419
Adjacent sequences: A075475 A075476 A075477 this_sequence A075479 A075480 A075481
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Sep 23 2002
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