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 A384836 #10 Jun 10 2025 14:51:32 %S A384836 1,0,0,0,1,10,85,735,6770,67320,724550,8427650,105615500,1420941600, %T A384836 20448793300,313670857500,5111631733000,88224807112000, %U A384836 1608190674259000,30879323250633000,623074177992110000,13182400475167560000,291842125111122170000,6748135840840046510000 %N A384836 a(n) = Sum_{k=0..floor(n/4)} |Stirling1(n,4*k)|. %F A384836 a(n) ~ n!/4. %t A384836 Table[Sum[Abs[StirlingS1[n, 4*k]], {k, 0, Floor[n/4]}], {n, 0, 30}] %o A384836 (PARI) a(n) = sum(k=0, n\4, abs(stirling(n, 4*k, 1))); \\ _Michel Marcus_, Jun 10 2025 %Y A384836 Cf. A000142, A001710, A357828, A384837. %Y A384836 Cf. A000110, A024430, A143815, A365525, A365528. %K A384836 nonn %O A384836 0,6 %A A384836 _Vaclav Kotesovec_, Jun 10 2025