A134598 - OEIS

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A134598

Sum of digital sums (base 2) of the prime factors of n.

1, 2, 2, 2, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 2, 5, 3, 4, 5, 4, 4, 5, 4, 4, 6, 5, 4, 5, 5, 5, 5, 3, 5, 6, 3, 4, 5, 5, 3, 6, 4, 5, 6, 5, 5, 6, 6, 5, 4, 5, 4, 7, 5, 6, 5, 5, 5, 6, 5, 6, 7, 6, 5, 6, 3, 4, 6, 6, 4, 7, 3, 4, 6, 5, 6, 6, 5, 6, 8, 4, 4, 7, 4, 5, 6, 6, 4, 7, 6, 6, 7, 6, 5, 7, 3, 7, 7, 6, 4, 5, 5, 6, 7, 5 (list; graph; refs; listen; history; internal format)

	OFFSET	`2,2`
	FORMULA	`If p_1p_2p_3* ... *p_m=n is the unique prime factorization of n, then a(n)=sum{1<=k<=m, ds_2(p_k)}, where ds_2 is the digital sum base 2.`
	EXAMPLE	`a(6)=3, since 6=2*3 and so a(6)=ds_2(2)+ds_2(3)=1+2.`
	CROSSREFS	`Cf. A007953, A118503, A134599.` `Sequence in context: A202453 A196052 A080773 * A064515 A112754 A045864` `Adjacent sequences: A134595 A134596 A134597 * A134599 A134600 A134601`
	KEYWORD	`nonn,base`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007`

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Last modified February 16 20:11 EST 2012. Contains 205961 sequences.