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 A073081 #16 Dec 07 2019 01:36:44 %S A073081 1,1,3,3,5,3,4,6,6,2,4,4,4,7,7,7,7,4,9,7,8,8,11,8,8,10,10,9,10,13,14, %T A073081 13,6,10,10,10,10,10,10,12,12,12,12,12,12,8,11,11,12,19,21,16,16,16, %U A073081 14,14,12,16,16,16,16,16,16,22,21,21,21,19,19,20,20,20,20,22,21,21,19,14 %N A073081 Greatest k such that k! divides sigma(n!). %C A073081 sum(k=1,n,a(k)) seems to be asymptotic to C*n^2 with 1/20 < C < 1/10. %H A073081 Giovanni Resta, <a href="/A073081/b073081.txt">Table of n, a(n) for n = 1..10000</a> %o A073081 (PARI) a(n) = my(m=1, s=sigma(n!)); for (k=1, n, if ((s % k!) == 0, m = max(m, k))); m; \\ _Michel Marcus_, Dec 05 2019 %Y A073081 Cf. A062569 (sigma(n!)). %K A073081 easy,nonn %O A073081 1,3 %A A073081 _Benoit Cloitre_, Aug 17 2002