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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.

A373870 a(n) = Sum_{k=1..n} k! * k^(n-3) * |Stirling1(n,k)|.

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%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