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Search: id:A075480
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| A075480 |
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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+39. Corresponds to selection of every 16th term from A074474. |
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+0
2
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| 14, 69, 48, 20, 14, 27, 17, 33, 14, 20, 22, 40, 14, 58, 20, 17, 14, 33, 22, 33, 14, 64, 17, 33, 14, 71, 20, 35, 14, 40, 43, 17, 14, 71, 71, 25, 14, 27, 17, 40, 14, 22, 25, 27, 14, 43, 25, 17, 14, 66, 27, 25, 14, 76, 17, 20, 14, 22, 43, 27, 14, 66, 25, 17, 14, 22, 89, 20, 14
(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+39], n=0, ..., 256
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EXAMPLE
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n=0: 64n+39=39,list={{39,118,59,178,89,268,134, 67,202,101,304,152,76,38,19,58....}, i.e. the 14th term=38 is the first that <39, the initial value, so a(0)=14.
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CROSSREFS
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Cf. A074473, A074474, A075476-A075483, A006370.
Sequence in context: A064096 A071616 A008529 this_sequence A008354 A116671 A051879
Adjacent sequences: A075477 A075478 A075479 this_sequence A075481 A075482 A075483
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KEYWORD
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fini,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Sep 23 2002
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