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 A373869 #10 Jun 20 2024 11:11:54 %S A373869 0,1,0,2,26,674,28894,1848216,165229560,19698788448,3022496261616, %T A373869 580460752264656,136441193196585408,38540172064949405616, %U A373869 12883204327833557091984,5030833813902039858261504,2269484487197629285690675584,1171368942033975021150888242304 %N A373869 a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling1(n,k). %F A373869 E.g.f.: Sum_{k>=1} log(1 + k*x)^k / k^3. %o A373869 (PARI) a(n) = sum(k=1, n, k!*k^(n-3)*stirling(n, k, 1)); %Y A373869 Cf. A373870, A373871, A373872. %Y A373869 Cf. A320083, A373857, A373874. %K A373869 nonn %O A373869 0,4 %A A373869 _Seiichi Manyama_, Jun 20 2024