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

1,1

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).

Links

Table of n, a(n) for n=1..35.

Example

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

Crossrefs

Cf. A111273, A113659, A113700.

Sequence in context: A008745 A230967 A179914 * A283385 A083606 A280927

Adjacent sequences: A113698 A113699 A113700 * A113702 A113703 A113704

Keyword

nonn

Author

Klaus Brockhaus, Nov 08 2005

Status

approved