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 A341575 #6 Feb 15 2021 22:36:50 %S A341575 1,0,4,5,58,217,2035,13470,134164,1243770,14129410,164244808, %T A341575 2151576620,29671566836,444758323628,7055358559376,119546765395744, %U A341575 2139179551573104,40486788832168944,805969129348431936,16860672502118423136,369459637224850523808,8467140450141232328160 %N A341575 E.g.f.: log(1 - log(1 - x))^2 / 2. %F A341575 a(n) = Sum_{k=2..n} |Stirling1(n, k)| * Stirling1(k, 2). %F A341575 a(n) = (-1)^n * Sum_{k=2..n} Stirling1(n, k) * (k-1)! * H(k-1), where H(k) is the k-th harmonic number. %t A341575 nmax = 24; CoefficientList[Series[Log[1 - Log[1 - x]]^2/2, {x, 0, nmax}], x] Range[0, nmax]! // Drop[#, 2] & %t A341575 Table[Sum[Abs[StirlingS1[n, k]] StirlingS1[k, 2], {k, 2, n}], {n, 2, 24}] %Y A341575 Cf. A000254, A000558, A008275, A079642, A081048, A089064, A302547, A302548, A341587. %K A341575 nonn %O A341575 2,3 %A A341575 _Ilya Gutkovskiy_, Feb 15 2021