id:A095112 - OEIS Search Results

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a(n) = sum of n/k over all prime powers k>1 which divide n.

+0
1

0, 1, 1, 3, 1, 5, 1, 7, 4, 7, 1, 13, 1, 9, 8, 15, 1, 17, 1, 19, 10, 13, 1, 29, 6, 15, 13, 25, 1, 31, 1, 31, 14, 19, 12, 43, 1, 21, 16, 43, 1, 41, 1, 37, 29, 25, 1, 61, 8, 37, 20, 43, 1, 53, 16, 57, 22, 31, 1, 77, 1, 33, 37, 63, 18, 61, 1, 55, 26, 59, 1, 95, 1, 39, 43, 61, 18, 71, 1, 91, 40 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`The prime power divisors of 24 are 2, 4, 8 and 3, so a(24) = 24/2 + 24/4 + 24/8 + 24/3 = 29.`
	MATHEMATICA	`a[n_]:=Plus@@(n/Flatten[ #[[1]]^Range[ #[[2]]]&/@FactorInteger[n]])`
	CROSSREFS	`Sequence in context: A118402 A122383 A136180 this_sequence A160596 A092319 A147410` `Adjacent sequences: A095109 A095110 A095111 this_sequence A095113 A095114 A095115`
	KEYWORD	`nonn`
	AUTHOR	`Dean Hickerson (dean.hickerson(AT)yahoo.com), following a suggestion of Leroy Quet May 28 2004`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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