|
%I #5 Jun 10 2019 06:16:51
%S 1,1,2,1,3,1,3,1,4,1,2,1,5,5,4,1,5,1,5,3,6,1,5,2,7,3,3,1,1,1,5,7,8,7,
%T 3,1,9,2,2,1,7,1,7,7,10,1,3,1,7,9,4,1,7,8,7,5,11,1,7,1,12,1,6,1,4,1,9,
%U 11,2,1,7,1,13,4,5,9,3,1,7,1,14,1,1,10
%N Denominator of the product of prime indices of n divided by the sum of prime indices of n, n > 1.
%C A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
%e The sequence A326153/A326154 begins: 1, 1, 1/2, 1, 2/3, 1, 1/3, 1, 3/4, 1, 1/2, 1, 4/5, 6/5, 1/4, 1, 4/5, 1, 3/5, 4/3, 5/6, 1, 2/5, 3/2, 6/7, 4/3.
%t primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t Table[Denominator[Times@@primeMS[n]/Plus@@primeMS[n]],{n,2,100}]
%Y Denominator of A003963(n)/A056239(n).
%Y Positions of ones are A326149.
%Y Cf. A057567, A057568, A112798, A301987, A325037, A325042, A325044, A326150, A326151, A326153, A326155, A326156, A326158.
%K nonn,frac
%O 2,3
%A _Gus Wiseman_, Jun 09 2019
|
