A134599 - OEIS

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A134599

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

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; refs; listen; history; internal format)

	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.` `Sequence in context: A159755 A094322 A136757 * A117235 A159573 A102916` `Adjacent sequences: A134596 A134597 A134598 * A134600 A134601 A134602`
	KEYWORD	`nonn,base`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007`

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Last modified February 17 16:00 EST 2012. Contains 206050 sequences.