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

Author

Vladimir Shevelev, Apr 11 2010, Apr 20 2010

Keywords

• nonn

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.

Examples

			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