id:A111234 - OEIS Search Results

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(Largest proper divisor of n) + (smallest prime divisor of n).

+0
3

3, 4, 4, 6, 5, 8, 6, 6, 7, 12, 8, 14, 9, 8, 10, 18, 11, 20, 12, 10, 13, 24, 14, 10, 15, 12, 16, 30, 17, 32, 18, 14, 19, 12, 20, 38, 21, 16, 22, 42, 23, 44, 24, 18, 25, 48, 26, 14, 27, 20, 28, 54, 29, 16, 30, 22, 31, 60, 32, 62, 33, 24, 34, 18, 35, 68, 36, 26, 37, 72, 38, 74, 39 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`If (but not only if) n is squarefree, then a(n) is coprime to n.`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`12's largest proper divisor is 6. 12's smallest prime divisor is 2. So a(12) = 6 + 2 = 8.`
	MATHEMATICA	`f[n_] := Divisors[n][[ -2]] + FactorInteger[n][[1, 1]]; Table[ f[n], {n, 2, 74}] (* Robert G. Wilson v *)`
	CROSSREFS	`Cf. A032742, A020639.` `Cf. A068319.` `Sequence in context: A028263 A059179 A061117 this_sequence A014683 A166737 A088847` `Adjacent sequences: A111231 A111232 A111233 this_sequence A111235 A111236 A111237`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Oct 28 2005`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 31 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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