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 A382326 #14 Apr 02 2025 20:37:06
%S A382326 4,6,12,24,30,60,120,180,210,360,420,840,1260,2310,2520,4620,7560,
%T A382326 9240,13860,27720,55440,60060,83160,110880,120120,138600,166320,
%U A382326 180180,277200,360360,720720,1081080,1441440,1801800,2162160,3063060,3603600,5405400,6126120
%N A382326 Numbers with a record ratio of nontrivial divisors to prime factors (counted with multiplicity).
%C A382326 Numbers k that give a record value for A070824(k)/A001222(k).
%e A382326 a(1) = 4: |{2}| / |{2, 2}| = 1/2.
%e A382326 a(2) = 6: |{2, 3}| / |{2, 3}| = 2/2.
%e A382326 a(3) = 12: |{2, 3, 4, 6}| / |{2, 2, 3}| = 4/3.
%o A382326 (PARI) my(mx=0); for(x=2, 10^5, my(f=factor(x), m=(numdiv(f)-2)/bigomega(f)); if(m>mx, mx=m; print1(x, ", ")))
%Y A382326 Cf. A070824, A001222, A002182, A382325, A382327.
%Y A382326 Subsequence of A025487.
%K A382326 nonn
%O A382326 1,1
%A A382326 _Charles L. Hohn_, Mar 21 2025