|
|
A226663
|
|
Conjectured record-breaking numbers, for ascending positive integers k, of primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.
|
|
3
|
|
|
1, 5, 9, 19, 20, 23, 52, 53, 97, 142, 534, 944, 950, 3806, 4782
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
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, where k is odd.
For primitive cycles, GCD(k,6)=1.
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|