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A074474 Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 4n+3. 6
7, 12, 9, 12, 7, 9, 97, 92, 7, 14, 9, 89, 7, 9, 12, 89, 7, 84, 9, 14, 7, 9, 74, 14, 7, 69, 9, 51, 7, 9, 14, 25, 7, 12, 9, 12, 7, 9, 66, 35, 7, 48, 9, 14, 7, 9, 12, 22, 7, 14, 9, 22, 7, 9, 14, 51, 7, 20, 9, 33, 7, 9, 45, 22, 7, 12, 9, 12, 7, 9, 40, 17, 7, 14, 9, 22, 7, 9, 12, 35, 7, 35, 9, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..84.

FORMULA

a(n)=A074473[4n-1]

EXAMPLE

n=6: 4n-1=23, the list={23,70,35,106,53,160,80,40,20, 10,5,16,8,4,2,1} sinks first below iv=23 at 20, the 9th term, so a(6)=9. Observe several (provable) modular rules with respect of initial value: e.g. regular appearance of 9 and 7.

MATHEMATICA

Table[Function[k, Length@ NestWhileList[If[EvenQ@ #, #/2, 3 # + 1] &, k, # >= k &]][4 n - 1], {n, 120}] (* Michael De Vlieger, Feb 20 2017 *)

CROSSREFS

Cf. A006370, A074472, A074473.

Sequence in context: A152199 A293926 A180570 * A070420 A223423 A274334

Adjacent sequences:  A074471 A074472 A074473 * A074475 A074476 A074477

KEYWORD

nonn

AUTHOR

Labos Elemer, Sep 19 2002

STATUS

approved

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Last modified May 26 07:44 EDT 2019. Contains 323579 sequences. (Running on oeis4.)