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A075482
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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+59.
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5
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12, 14, 12, 45, 12, 14, 12, 17, 12, 14, 12, 33, 12, 14, 12, 20, 12, 14, 12, 25, 12, 14, 12, 17, 12, 14, 12, 20, 12, 14, 12, 30, 12, 14, 12, 25, 12, 14, 12, 17, 12, 14, 12, 30, 12, 14, 12, 22, 12, 14, 12, 69, 12, 14, 12, 17, 12, 14, 12, 22, 12, 14, 12, 22, 12, 14, 12, 82, 12
(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+59]
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EXAMPLE
| n=0: 64n+59=59, the list={59,178,89,268,134,67,202,101,304,152,76,38,..} the 12ndterm=38<59=the initial value, so a(0)=12.
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CROSSREFS
| Cf. A006370, A074472, A074473, A075476-A075483.
Sequence in context: A061097 A121288 A075477 * A043651 A043701 A080693
Adjacent sequences: A075479 A075480 A075481 * A075483 A075484 A075485
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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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