|
|
A226676
|
|
Smallest positive integer k (or 0 if no such k) with a primitive cycle of n positive integers under iteration by the Collatz-like 3x-k function.
|
|
2
|
|
|
1, 0, 1, 11, 49, 17, 115, 473, 31, 791, 1, 29, 11491, 371, 641, 2167, 19, 119, 23, 3211, 106537, 77, 431, 2465, 2069, 5575
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
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.
Conjecture: For n>2, a(n)>0.
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|