A114892 a(n) is the cycle length corresponding to A114891(n).

2, 2, 3, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 10, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2, 4, 2, 4, 2, 6, 4, 2, 4, 2

Offset

1,1

Comments

Besides 3 for the cycle (5,7,6) the following lengths of cycles with elements <= 1500000 occur: 2, 4, 6, 10, 12, 16, 18. The even period lengths appear in a rather regular manner, presumably infinitely often.

Links

Table of n, a(n) for n=1..105.

Example

A114727(12) = 32 belongs to the 6-cycle (32,37,36,35,34,33), so a(12) = 6.

Crossrefs

Cf. A114861, A114891.

Sequence in context: A371306 A257062 A098223 * A285705 A238958 A238971

Adjacent sequences: A114889 A114890 A114891 * A114893 A114894 A114895

Keyword

nonn

Author

Klaus Brockhaus, Jan 09 2006

Status

approved