id:A134599 - OEIS Search Results

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Sum of digital sums (base 3) of the prime factors of n.

+0
21

2, 1, 4, 3, 3, 3, 6, 2, 5, 3, 5, 3, 5, 4, 8, 5, 4, 3, 7, 4, 5, 5, 7, 6, 5, 3, 7, 3, 6, 3, 10, 4, 7, 6, 6, 3, 5, 4, 9, 5, 6, 5, 7, 5, 7, 5, 9, 6, 8, 6, 7, 7, 5, 6, 9, 4, 5, 5, 8, 5, 5, 5, 12, 6, 6, 5, 9, 6, 8, 7, 8, 5, 5, 7, 7, 6, 6, 7, 11, 4, 7, 3, 8, 8, 7, 4, 9, 5, 7, 6, 9, 4, 7, 6, 11, 5, 8, 5, 10, 5, 8, 5, 9, 7 (list; graph; listen)

	OFFSET	`2,1`
	FORMULA	`If p_1p_2p_3* ... *p_m=n is the unique prime factorization of n, then a(n)=sum{1<=k<=m, ds_3(p_k)}, where ds_3 is the digital sum base 3.`
	EXAMPLE	`a(6)=3, since 6=2*3 and so a(6)=ds_3(2)+ds_3(3)=2+1.`
	CROSSREFS	`Cf. A007953, A118503, A134598.` `Adjacent sequences: A134596 A134597 A134598 this_sequence A134600 A134601 A134602` `Sequence in context: A098122 A094322 A136757 this_sequence A117235 A102916 A081234`
	KEYWORD	`nonn,base`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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