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 A362911 #18 Nov 11 2023 05:20:27 %S A362911 1,1,3,11,60,384,3062,27838,293416,3447768,45277392,651587760, %T A362911 10254900048,174557518992,3203361670896,62938642659504, %U A362911 1319693558377728,29390794198726656,693223221342879360,17256288944072200320,452215395177034040064 %N A362911 Expansion of e.g.f. 1/( 1 - (1 + x) * log(1 + x) ). %F A362911 a(n) = Sum_{k=0..n} Stirling1(n,k) * A006153(k). %F A362911 a(n) ~ sqrt(2*Pi) * n^(n + 1/2) / ((1 + LambertW(1)) * exp(n) * (1/LambertW(1) - 1)^(n+1)). - _Vaclav Kotesovec_, Nov 11 2023 %o A362911 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(1+x)*log(1+x)))) %Y A362911 Cf. A305306, A362912. %Y A362911 Cf. A005727, A006153, A305307. %K A362911 nonn %O A362911 0,3 %A A362911 _Seiichi Manyama_, May 10 2023