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A226689 Conjectured record-breaking numbers of odd elements, for ascending positive integers k, in primitive cycles of positive integers under iteration by the Collatz-like 3x-k function. 2
7, 11, 12, 22, 44, 53, 54, 106, 108, 112, 113, 144, 159, 180 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.

The 3x-k function T_k is defined by T_k(x) = x/2 if x is even, (3x-k)/2 if x is odd.

For primitive cycles, GCD(k,6)=1.

For n<15, but probably not for all n, k = A226687(n) and the smallest integer in the T_k cycle associated with a(n) is A226688(n).

LINKS

Table of n, a(n) for n=1..14.

CROSSREFS

Cf. A226626, A226673.

Sequence in context: A228523 A193301 A213250 * A117610 A176173 A200327

Adjacent sequences:  A226686 A226687 A226688 * A226690 A226691 A226692

KEYWORD

nonn

AUTHOR

Geoffrey H. Morley, Jun 19 2013

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)