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A082091 Length of iteration sequence if function A005361, [product of exponents to prime factors of n] is iterated and started at n. Fixed point equals one for all initial values. +0
2
2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 4, 2, 3, 2, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 4, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 4, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 4, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 2, 2 (list; graph; listen)
OFFSET

2,1

EXAMPLE

n=10!:list={3628800,64,6,1}},a[3628800]=4

MATHEMATICA

ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ep[x_] := Table[Part[ffi[x], 2*w], {w, 1, lf[x]}] expr[x_] := Apply[Times, ep[x]] Table[Length[FixedPointList[expr, w]]-1, {w, 2, 128}]

CROSSREFS

Cf. A056239, A008475, A001414, A082083-A082086, A082090.

Adjacent sequences: A082088 A082089 A082090 this_sequence A082092 A082093 A082094

Sequence in context: A073813 A104517 A098397 this_sequence A085962 A060244 A067132

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 09 2003

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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