id:A098893 - OEIS Search Results

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Sum of number of prime-factors of all prefixes in decimal representation of n.

+0
1

0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 4, 3, 3, 2, 5, 3, 3, 4, 4, 2, 4, 2, 6, 3, 3, 3, 5, 2, 3, 3, 6, 3, 5, 3, 5, 5, 4, 3, 7, 4, 4, 3, 4, 2, 5, 3, 5, 3, 3, 2, 6, 3, 4, 5, 8, 4, 5, 3, 5, 4, 4, 2, 6, 2, 3, 4, 4, 3, 4, 2, 8, 7, 5, 4, 7, 5, 5, 5, 7, 4, 6, 4, 5, 4, 4, 4, 8, 3, 5, 5, 6, 3, 5, 3, 6, 5 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`a(n) = if n<10 then Omega(n) else Omega(n) + a(floor(n/10)), where Omega=A001222.`
	EXAMPLE	`a(256)=Omega(256)+a(25)=8+Omega(25)+a(2)=8+2+Omega(2)=10+1=11.`
	CROSSREFS	`Sequence in context: A122810 A086436 A001222 this_sequence A069248 A008481 A127669` `Adjacent sequences: A098890 A098891 A098892 this_sequence A098894 A098895 A098896`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 04 2004`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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