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A075483
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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+63.
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6
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89, 25, 22, 22, 35, 20, 66, 30, 17, 38, 133, 27, 25, 40, 35, 30, 20, 25, 22, 38, 38, 133, 51, 27, 17, 40, 22, 30, 20, 35, 22, 95, 131, 33, 20, 25, 27, 22, 27, 66, 17, 27, 71, 45, 33, 48, 35, 89, 22, 33, 30, 30, 48, 22, 40, 30, 17, 61, 30, 64, 22, 22, 25, 84, 22, 22, 25, 33
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 1stSubmergeLengths[=A074473] with initial values belonging to other residue classes modulo 64 are either listed in A075476-A075483 or can be easily determined. For 64k+2s the first sink below initial value is at 2nd iterate; for 64k+4s+1 the first submerge below initial value comes at 4th term of iteration list; finally if initial value is of 64k+4s+3 form or moreover initial value = 64k+r,r = 3,11,19,23,35,43,51,55 then for all k first sink emerges at the 7,9,7,9,7,9,7,9-th iterates respectively.
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FORMULA
| a(n)=A074473[64n+63]
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EXAMPLE
| n=8: 64n+63=575, the list= the 17th term 410 < 575=initial value, so a(8)=17.
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CROSSREFS
| Cf. A006370, A074472, A074473, A075476-A075482.
Sequence in context: A036951 A051328 A166321 * A033409 A152160 A075481
Adjacent sequences: A075480 A075481 A075482 * A075484 A075485 A075486
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Sep 24 2002
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