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A121510
Conjectured to be complete list of cycle lengths for 3x+1 (or Collatz) problem.
2
1, 2, 3, 5, 18
OFFSET
1,2
COMMENTS
The sequence counts cycles over the domain of all integer values: (0), (-1, -2), (4, 2, 1), (-5, -14, -7, -20, -10), and (-17, -50, -25, -74, -37, -110, -55, -164, -82, -41, -122, -61, -182, -91, -272, -136, -68, -34); the generalized cycle conjecture asserts that these are the only such cycles (see Kaneda link). - Michael S. Branicky, Nov 10 2025
LINKS
Masayoshi Kaneda, Two remarks on the Collatz cycle conjecture, The Fibonacci Quarterly 53, no. 2 (2015): 168-174.
CROSSREFS
Sequence in context: A253646 A004249 A268210 * A132346 A284530 A041293
KEYWORD
nonn
AUTHOR
Daniel Asimov (dasimov(AT)earthlink.net), Sep 17 2006
STATUS
approved