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 A381576 #6 Mar 01 2025 12:19:45 %S A381576 2,3,2,5,1,7,3,3,1,11,2,13,1,1,4,17,2,19,2,1,1,23,2,5,1,3,2,29,1,31,5, %T A381576 1,1,1,2,37,1,1,2,41,1,43,2,2,1,47,2,7,2,1,2,53,2,1,2,1,1,59,1,61,1,2, %U A381576 6,1,1,67,2,1,1,71,2,73,1,2,2,1,1,79,2,4,1,83,1,1,1 %N A381576 a(n) is the second element of the sorted multiset of bases and exponents (including exponents = 1) in the prime factorization of n. %H A381576 Paolo Xausa, <a href="/A381576/b381576.txt">Table of n, a(n) for n = 2..10000</a> %F A381576 a(p) = p, for p prime. %e A381576 a(10) = 1 because the prime factorization of 10 is 2^1*5^1, the multiset of these bases and exponents is {1, 1, 2, 5} and its second element is 1. %e A381576 a(18) = 2 because the prime factorization of 18 is 2^1*3^2, the multiset of these bases and exponents is {1, 2, 2, 3} and its second element is 2. %t A381576 A381576[n_] := Sort[Flatten[FactorInteger[n]]][[2]]; %t A381576 Array[A381576, 100, 2] %Y A381576 Second column of A381178. %K A381576 nonn,easy %O A381576 2,1 %A A381576 _Paolo Xausa_, Feb 28 2025