This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A326153 #6 Jun 10 2019 06:16:44 %S A326153 1,1,1,1,2,1,1,1,3,1,1,1,4,6,1,1,4,1,3,4,5,1,2,3,6,4,2,1,1,1,1,10,7, %T A326153 12,2,1,8,3,1,1,8,1,5,12,9,1,1,2,9,14,3,1,8,15,4,8,10,1,6,1,11,2,1,2, %U A326153 5,1,7,18,3,1,4,1,12,9,4,20,4,1,3,2,13,1,1 %N A326153 Numerator of the product of prime indices of n divided by the sum of prime indices of n, n > 1. %C A326153 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 A326153 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 A326153 primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]]; %t A326153 Table[Numerator[Times@@primeMS[n]/Plus@@primeMS[n]],{n,2,100}] %Y A326153 Numerator of A003963(n)/A056239(n). %Y A326153 Positions of ones are A326155 without the first term. %Y A326153 Cf. A057567, A057568, A112798, A301987, A325037, A325042, A325044, A326149, A326150, A326151, A326154, A326156, A326158. %K A326153 nonn,frac %O A326153 2,5 %A A326153 _Gus Wiseman_, Jun 09 2019