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 A384837 #9 Jun 10 2025 14:51:17 %S A384837 1,0,0,0,0,1,15,175,1960,22449,269326,3416985,45997655,657262606, %T A384837 9959178229,159758917956,2707741441460,48389066401764,909877831207125, %U A384837 17965423056654249,371766710374672096,8047954162682335066,181941000229690525197,4288430328840863166236,105226297616943093770399 %N A384837 a(n) = Sum_{k=0..floor(n/5)} |Stirling1(n,5*k)|. %F A384837 a(n) ~ n!/5. %t A384837 Table[Sum[Abs[StirlingS1[n, 5*k]], {k, 0, Floor[n/5]}], {n, 0, 30}] %o A384837 (PARI) a(n) = sum(k=0, n\5, abs(stirling(n, 5*k, 1))); \\ _Michel Marcus_, Jun 10 2025 %Y A384837 Cf. A000142, A001710, A357828, A384836. %Y A384837 Cf. A000110, A024430, A143815, A365525, A365528. %K A384837 nonn %O A384837 0,7 %A A384837 _Vaclav Kotesovec_, Jun 10 2025