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 A373870 #9 Jun 20 2024 11:08:27 %S A373870 0,1,2,14,254,9154,552034,50183832,6417140232,1098719459424, %T A373870 242758470248976,67260880064331216,22840933997866565184, %U A373870 9330599517868641290160,4514326567036815466609008,2553018492454631240215801344,1668797317379516060093446975104 %N A373870 a(n) = Sum_{k=1..n} k! * k^(n-3) * |Stirling1(n,k)|. %F A373870 E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k^3. %o A373870 (PARI) a(n) = sum(k=1, n, k!*k^(n-3)*abs(stirling(n, k, 1))); %Y A373870 Cf. A373869, A373871, A373872. %Y A373870 Cf. A320096, A373855, A373875. %K A373870 nonn %O A373870 0,3 %A A373870 _Seiichi Manyama_, Jun 20 2024