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A019269

Let Dedekind's psi(m) = product of (p+1)p^(e-1) for primes p, where p^e is a factor of m. Iterating psi(m) eventually results in a number of form 2^a*3^b. a(n) is the number of steps to reach such a number.

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0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 3, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 4, 3, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 3, 2, 1 (list; graph; listen)

	OFFSET	`1,13`
	REFERENCES	`R. K. Guy, "Unsolved Problems in Number Theory", section B41.` `Peter Giblin, "Primes and Programming - an Introduction to Number Theory with Computation", page 118.`
	CROSSREFS	`Sequence in context: A078659 A079690 A040076 this_sequence A035155 A090584 A128409` `Adjacent sequences: A019266 A019267 A019268 this_sequence A019270 A019271 A019272`
	KEYWORD	`nonn`
	AUTHOR	`j.mccranie(AT)comcast.net (JUD MCCRANIE)`

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.

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