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 A352797 #27 May 11 2022 10:29:36
%S A352797 1,3,9,45,135,945,2835,14175,155925,467775,6081075
%N A352797 Let S(k) be the subsequence of multiples of k from k*positive integers where each element of S(k) sets a new record of divisors in that sequence. Then f(k) is the first element from S(k)/k that is not a power of 2. Sequence lists records for f(k).
%C A352797 Conjecture: Subsequence of A147516.
%e A352797 For k=1, the sequence of multiples of 1 that set records for numbers of divisors (divided by 1) starts 1,2,4,6. (A002182)
%e A352797 For k=3, the sequence starts 1,2,4,8,12. (A351623)
%e A352797 For k=9, the sequence starts 1,2,4,8,16,20.
%e A352797 For k=45, the sequence starts 1,2,4,8,16,24.
%o A352797 (PARI) isp2(n) = if (n<=2, return(1)); my(m); ispower(n,,&m) && (m==2);
%o A352797 f(n) = {my(m=1, nm, k=1, ok=0); until(ok, nm = numdiv(k*n); if (nm > m, m = nm; if (!isp2(k), ok = 1);); if (!ok, k++);); k;}
%o A352797 lista(nn) = {my(m=1, fm); for (n=1, nn, fm = f(n); if (fm > m, m = fm; print1(n, ", ");););} \\ _Michel Marcus_, May 05 2022
%Y A352797 Cf. A002182, A351623, A147516.
%K A352797 nonn,more
%O A352797 1,2
%A A352797 _J. Lowell_, Apr 03 2022