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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
CROSSREFS
Sequence in context: A228523 A193301 A213250 * A117610 A176173 A200327
KEYWORD
nonn
AUTHOR
Geoffrey H. Morley, Jun 19 2013
STATUS
approved

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Last modified June 13 03:16 EDT 2024. Contains 373366 sequences. (Running on oeis4.)