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A113701
Members of 3-cycles of permutation A111273.
3
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
OFFSET
1,1
COMMENTS
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).
EXAMPLE
A111273(7494) = 18735, A111273(18735) = 9992 and A111273(9992) = 7494, hence
7494, 9992 and 18735 are in the sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Nov 08 2005
STATUS
approved