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Search: id:A113701
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| 1734, 2312, 4335, 4804, 6005, 7494, 8407, 8994, 9992, 10493, 12548, 13491, 16004, 18244, 18735, 18822, 19268, 20005, 21956, 21959, 22805, 23412, 24026, 24964, 25363, 26076, 27332, 28007, 28902, 30020, 30692, 31205, 31927, 32934, 33167
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OFFSET
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1,1
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COMMENT
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Trajectory of n under map k -> A111273(k) is periodic with period length 3.
n = A111273(A111273(A111273(n))), n <> A111273(A111273(n)), n <> A111273(n).
Apparently A111273 has infinitely many 3-cycles.
The only k-cycles with k > 3 and terms < 240000 are the 4-cycles (84326,126489,149487,91992) and (94138,98417,135761,141207), the 6-cycle (4,5,15,8,6,7), the 7-cycle (16,17,51,34,35,30,31) and the 13-cycle (28,29,87,58,59,118,119,68,46,47,94,95,48).
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EXAMPLE
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A111273(7494) = 18735, A111273(18735) = 9992 and A111273(9992) = 7494, hence
7494, 9992 and 18735 are in the sequence.
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CROSSREFS
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Cf. A111273, A113659, A113700.
Sequence in context: A048949 A130876 A008745 this_sequence A083606 A095847 A043653
Adjacent sequences: A113698 A113699 A113700 this_sequence A113702 A113703 A113704
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 08 2005
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