id:A067666 - OEIS Search Results

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Sum of squares of prime factors of n (counted with multiplicity).

+0
3

0, 4, 9, 8, 25, 13, 49, 12, 18, 29, 121, 17, 169, 53, 34, 16, 289, 22, 361, 33, 58, 125, 529, 21, 50, 173, 27, 57, 841, 38, 961, 20, 130, 293, 74, 26, 1369, 365, 178, 37, 1681, 62, 1849, 129, 43, 533, 2209, 25, 98, 54, 298, 177, 2809, 31, 146, 61, 370, 845, 3481 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(bc)=a(b)+a(c); a(p^k)=kp^2 for p prime.` `Totally additive with a(p) = p^2.`
	EXAMPLE	`a(2)=2^2=4. a(45)=a(335)=3^2+3^2+5^2=43.`
	CROSSREFS	`Cf. A001222, A001414.` `Adjacent sequences: A067663 A067664 A067665 this_sequence A067667 A067668 A067669` `Sequence in context: A121920 A065642 A118585 this_sequence A050399 A072995 A073395`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Feb 04 2002`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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