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A075481 Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+47. Corresponds to selection of every 16th term from A074474. 1
89, 51, 14, 33, 22, 17, 14, 45, 27, 22, 14, 35, 17, 20, 14, 35, 22, 22, 14, 43, 22, 17, 14, 27, 128, 20, 14, 25, 17, 25, 14, 20, 22, 30, 14, 82, 20, 17, 14, 45, 22, 27, 14, 25, 17, 27, 14, 48, 20, 30, 14, 43, 30, 17, 14, 58, 61, 27, 14, 53, 17, 56, 14, 22, 30, 58, 14, 27, 53 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..68.

FORMULA

a(n)=A075473[64n+47], n=0, ..., 256

EXAMPLE

n=2: 64n+47=175,list={175,526,263,790,395,1186,593,1780, 890,445,1336,668,334,167,502,251....}, i.e. the 14th term=167 is the first that <175, the initial value, so a(2)=14.

CROSSREFS

Cf. A074473, A074474, A075476-A075483, A006370.

Sequence in context: A262093 A033409 A152160 * A104925 A096400 A074119

Adjacent sequences:  A075478 A075479 A075480 * A075482 A075483 A075484

KEYWORD

nonn

AUTHOR

Labos Elemer, Sep 23 2002

STATUS

approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)