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A075478 Number of iteration that first becomes smaller than the initial value if Collatz-function (A006370) is iterated, starting with numbers of form 64n+27. Corresponds to selection of every 16th term from A074474. 1
97, 74, 66, 14, 40, 17, 25, 14, 22, 27, 40, 14, 45, 27, 17, 14, 40, 38, 27, 14, 56, 17, 20, 14, 22, 27, 30, 14, 100, 30, 17, 14, 22, 33, 20, 14, 22, 17, 30, 14, 20, 30, 53, 14, 38, 20, 17, 14, 51, 25, 66, 14, 35, 17, 22, 14, 25, 20, 64, 14, 38, 40, 17, 14, 45, 25, 22, 14, 27 (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+27], n=0, ..., 256

EXAMPLE

n=0: 64n+27=27, list={27, 82, 41, 46.23.70, ..}, i.e. the 97th term is the first that <27, the initial value.

CROSSREFS

Cf. A074473, A074474, A075476-A075482, A006370.

Sequence in context: A182690 A088866 A244192 * A126146 A112667 A106419

Adjacent sequences:  A075475 A075476 A075477 * A075479 A075480 A075481

KEYWORD

nonn

AUTHOR

Labos Elemer, Sep 23 2002

STATUS

approved

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Last modified January 24 07:18 EST 2020. Contains 331189 sequences. (Running on oeis4.)