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 A380370 #11 Jan 23 2025 08:31:36
%S A380370 0,0,0,0,0,1,15,175,1960,22449,269199,3410000,45753180,650179816,
%T A380370 9771920158,155020511282,2589903552600,45462951235584,836599468436514,
%U A380370 16102788580144350,323508284210923974,6770014833358706076,147290030512050486060,3325319844639779998836
%N A380370 Expansion of e.g.f. log( 1 - log(1 - x)^5 / 120 ).
%F A380370 a(n) = Sum_{k=1..floor(n/5)} (-1)^(k-1) * (5*k)! * |Stirling1(n,5*k)|/(k * 120^k).
%F A380370 a(n) = |Stirling1(n,5)| - Sum_{k=1..n-1} |Stirling1(k,5)| * binomial(n-1,k) * a(n-k).
%o A380370 (PARI) a(n) = sum(k=1, n\5, (-1)^(k-1)*(5*k)!*abs(stirling(n, 5*k, 1))/(k*120^k));
%Y A380370 Cf. A346966, A377376, A379674.
%K A380370 nonn
%O A380370 0,7
%A A380370 _Seiichi Manyama_, Jan 23 2025