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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)