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A097005 A062401[x] is iterated. Initial value = n!. a[n] is the path-length of trajectory = count of transients and recurrent terms, i.e. all distinct states arising in trajectory. +0
2
1, 1, 1, 2, 3, 3, 1, 9, 6, 14, 2, 51, 35, 81, 32, 31 (list; graph; listen)
OFFSET

0,4

EXAMPLE

n=10:10!=3628800;trajectory ={3628800,5702400,5702400,..} a[10]=2, one

transient and 1 cycle term.

MAPLE

fs[x_]:=EulerPhi[DivisorSigma[1, x]] itef[x_, len_]:=NestList[fs, x, len] Table[Length[Union[itef[w!, 1000]]], {w, 0, 16}]

CROSSREFS

Cf. A000203, A000010, A062401, A000142.

Sequence in context: A120653 A116155 A144149 this_sequence A068008 A123948 A131012

Adjacent sequences: A097002 A097003 A097004 this_sequence A097006 A097007 A097008

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 22 2004

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.


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