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A111234 (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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