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A123528 Numerator of average of prime factors of n. +0
2
2, 3, 2, 5, 5, 7, 2, 3, 7, 11, 7, 13, 9, 4, 2, 17, 8, 19, 3, 5, 13, 23, 9, 5, 15, 3, 11, 29, 10, 31, 2, 7, 19, 6, 5, 37, 21, 8, 11, 41, 4, 43, 5, 11, 25, 47, 11, 7, 4, 10, 17, 53, 11, 8, 13, 11, 31, 59, 3, 61, 33, 13, 2, 9, 16, 67, 7, 13, 14, 71, 12, 73, 39, 13, 23, 9, 6, 79, 13, 3, 43, 83, 7 (list; graph; listen)
OFFSET

2,1

FORMULA

a(n) = sopfr(n) / bigomega(n) = A001414(n) / A001222(n).

EXAMPLE

12 = 2 * 2 * 3, so a(12) = (2 + 2 + 3) / 3 = 7/3.

Sequence of fractions starts 2/1, 3/1, 2/1, 5/1, 5/2, 7/1, 2/1, 3/1, 7/2, 11/1, 7/3.

CROSSREFS

Cf. A123529, A067629, A001414, A001222.

Sequence in context: A086294 A075860 A008472 this_sequence A074036 A074251 A074196

Adjacent sequences: A123525 A123526 A123527 this_sequence A123529 A123530 A123531

KEYWORD

frac,nonn

AUTHOR

Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Oct 02 2006

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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