A113701 Members of 3-cycles of permutation A111273.

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

Author

Klaus Brockhaus, Nov 08 2005

Keywords

• nonn

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).

Examples

			A111273(7494) = 18735, A111273(18735) = 9992 and A111273(9992) = 7494, hence
7494, 9992 and 18735 are in the sequence.
		

Crossrefs

Cf. A111273, A113659, A113700.