A069352 - OEIS

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A069352

Total number of prime factors of 3-smooth numbers.

0, 1, 1, 2, 2, 3, 2, 3, 4, 3, 4, 3, 5, 4, 5, 4, 6, 5, 4, 6, 5, 7, 6, 5, 7, 6, 5, 8, 7, 6, 8, 7, 6, 9, 8, 7, 6, 9, 8, 7, 10, 9, 8, 7, 10, 9, 8, 11, 7, 10, 9, 8, 11, 10, 9, 12, 8, 11, 10, 9, 12, 8, 11, 10, 13, 9, 12, 11, 10, 13, 9, 12, 11, 14, 10, 13, 9, 12, 11, 14, 10, 13, 12, 15, 11 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,4`
	COMMENTS	`a(n) = A001222(A003586(n));` `a(n) = A022328(n) + A022329(n);` `A086414(n) <= A086415(n) <= a(n).`
	LINKS	`Table of n, a(n) for n=1..85.`
	FORMULA	`a(n) = i+j for 3-smooth numbers n = 2^i*3^j (A003586).` `a(n) = A001222(A033845(n))-2. - Enrique Pérez Herrero, Jan 04 2012`
	CROSSREFS	`Sequence in context: A115727 A115726 A086413 * A073453 A123229 A127095` `Adjacent sequences: A069349 A069350 A069351 * A069353 A069354 A069355`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller, Mar 18 2002`
	EXTENSIONS	`Edited by N. J. A. Sloane, Oct 27 2008 at the suggestion of R. J. Mathar.`
	STATUS	`approved`

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Last modified May 23 00:23 EDT 2013. Contains 225585 sequences.