id:A046660 - OEIS Search Results

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Excess of n = number of primes divisors (with multiplicity) - number of prime divisors (without multiplicity).

+0
15

0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 3, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 5, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 1, 1, 0, 0, 0, 3, 3, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 4, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,8`
	COMMENT	`a(n) depends only on prime signature of n (cf. A025487). So a(24) = a(375) since 24=2^33 and 375=35^3 both have prime signature (3,1).` `a(n) = 0 for square-free n.`
	REFERENCES	`M. Kac, Statistical Independence in Probability, Analysis and Number Theory, Carus Monograph 12, Math. Assoc. Amer., 1959, see p. 64.`
	FORMULA	`Additive with a(p^e) = e - 1.`
	CROSSREFS	`Equals A001222 - A001221. Not the same as A066301.` `Sequence in context: A081221 A103840 A066301 this_sequence A108730 A056973 A107782` `Adjacent sequences: A046657 A046658 A046659 this_sequence A046661 A046662 A046663`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`njas`
	EXTENSIONS	`More terms from David W. Wilson (davidwwilson(AT)comcast.net).`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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