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A226686 Conjectured record-breaking lengths, for ascending positive integers k, of primitive cycles of positive integers under iteration by the Collatz-like 3x-k function. 5
11, 17, 19, 34, 69, 84, 85, 168, 171, 176, 179, 228, 252, 285 (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.
LINKS
CROSSREFS
k = A226687(n). The smallest integer in the T_k cycle(s) associated with a(n) is A226688(n).
Sequence in context: A225677 A344477 A230654 * A217055 A050879 A245622
KEYWORD
nonn
AUTHOR
Geoffrey H. Morley, Jun 16 2013
STATUS
approved

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Last modified May 28 00:20 EDT 2024. Contains 372900 sequences. (Running on oeis4.)