cp's OEIS Frontend

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.

A326619 Numerator of the average of the set of distinct prime indices of n.

This page as a plain text file.
%I A326619 #7 Jul 15 2019 01:44:26
%S A326619 1,2,1,3,3,4,1,2,2,5,3,6,5,5,1,7,3,8,2,3,3,9,3,3,7,2,5,10,2,11,1,7,4,
%T A326619 7,3,12,9,4,2,13,7,14,3,5,5,15,3,4,2,9,7,16,3,4,5,5,11,17,2,18,6,3,1,
%U A326619 9,8,19,4,11,8,20,3,21,13,5,9,9,3,22,2,2,7
%N A326619 Numerator of the average of the set of distinct prime indices of n.
%C A326619 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 A326619 The distinct prime indices of 12 are {1,2}, with average 3/2, so a(12) = 3.
%e A326619 The sequence of fractions begins: 1, 2, 1, 3, 3/2, 4, 1, 2, 2, 5, 3/2, 6, 5/2, 5/2, 1, 7, 3/2, 8, 2, 3, 3, 9, 3/2, 3, 7/2, 2, 5/2, 10, 2.
%t A326619 Table[Numerator[Mean[PrimePi/@First/@FactorInteger[n]]],{n,2,100}]
%Y A326619 The average of the multiset of prime indices is A326567/A326568.
%Y A326619 The average of the multiset of prime factors is A123528/A123529.
%Y A326619 The average of the set of distinct prime indices is A326619/A326620.
%Y A326619 The average of the set of distinct prime factors is A323171/A323172.
%Y A326619 Cf. A001221, A067629, A078174, A078175, A112798, A316413, A326621.
%K A326619 nonn,frac
%O A326619 2,2
%A A326619 _Gus Wiseman_, Jul 14 2019