A176187 Least period of sequence {f^(m)(n)},m=1,2,3,..., where f^(m) is the m-th iteration of A002326 (f^(1)=f), after possibly dropping some finite number of iterations

1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 3, 1, 1, 1, 3

Offset

0,10

Comments

Conjecture: For every n>=0 the sequence {f^(m)(n)} is eventually periodic. Further calculations may show if there exist terms different from 1 and 3.

Links

Table of n, a(n) for n=0..76.

Example

For n=0, we have: f(0)=1, f(1)=2, f(2)=4, f(4)=6, f(6)=12, f(12)=20, f(20)=20,... Thus a(1)=1.

Crossrefs

Cf. A002326

Sequence in context: A308166 A295931 A295920 * A372288 A180683 A365331

Adjacent sequences: A176184 A176185 A176186 * A176188 A176189 A176190

Keyword

nonn

Author

Vladimir Shevelev, Apr 11 2010, Apr 20 2010

Status

approved