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 A355028 #10 Jun 22 2022 02:29:55 %S A355028 1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,5,5,5,6,6,7,9,9,11,12,13,14,16,17,19, %T A355028 23,26,30,32,35,38,40,43,51,56,62,68,74,80,86,94,106,118,128,140,152, %U A355028 167,179,197,221,247,272,298,325,353,384,425,473,522,567,631 %N A355028 a(n) is the maximum number of distinct prime signatures of numbers with n prime divisors (counted with multiplicity) that have the same number of divisors. %H A355028 Amiram Eldar, <a href="/A355028/b355028.txt">Table of n, a(n) for n = 0..90</a> %e A355028 a(8) = 2 since there are 2 prime signatures of numbers k with Omega(k) = 8, p1^5 * p2 * p3 * p4 and p1^3 * p2^3 * p3^2, that correspond to the same number of divisors, 48. %t A355028 a[n_] := Max[Tally[Times @@ (# + 1) & /@ IntegerPartitions[n]][[;; , 2]]]; Array[a, 50, 0] %Y A355028 Cf. A000005, A001222, A101296, A118914, A355026, A355027. %K A355028 nonn %O A355028 0,9 %A A355028 _Amiram Eldar_, Jun 16 2022