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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
Sequence in context: A008780 A211058 A239460 * A101992 A356792 A160671
KEYWORD
nonn,more
AUTHOR
Geoffrey H. Morley, Jul 05 2013
STATUS
approved

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Last modified July 19 19:50 EDT 2024. Contains 374436 sequences. (Running on oeis4.)