Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Jul 19 2019 20:26:40
%S 1,1,1,1,2,1,1,1,2,1,3,1,2,1,1,1,3,1,1,1,2,1,4,1,2,1,3,1,3,1,1,1,2,1,
%T 2,1,2,1,4,1,1,1,1,3,2,1,5,1,1,1,3,1,4,1,4,1,2,1,1,1,2,3,1,1,3,1,1,1,
%U 3,1,5,1,2,3,3,1,1,1,5,1,2,1,2,1,2,1,4,1,4,1,1,1,2,1,6,1,3,3,2,1,3,1,4,1,2
%N Denominator of average of prime factors of n.
%C Prime factors counted with multiplicity. - _Harvey P. Dale_, Jun 20 2013
%C Positions of 1's are A078175. a(n) is a divisor of Omega(n) = A001222(n). The average of prime indices (as opposed to prime factors) of n is A326567(n)/A326568(n). - _Gus Wiseman_, Jul 18 2019
%H G. C. Greubel, <a href="/A123529/b123529.txt">Table of n, a(n) for n = 2..5000</a>
%t Table[Denominator[Mean[Flatten[Table[#[[1]],{#[[2]]}]&/@ FactorInteger[ n]]]],{n,110}] (* _Harvey P. Dale_, Jun 20 2013 *)
%Y See A123528 for more formulas and references.
%Y Cf. A078174, A078175, A112798, A316413, A326567/A326568, A326619/A326620, A326621.
%K frac,nonn
%O 2,5
%A _Franklin T. Adams-Watters_, Oct 02 2006