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 A377682 #11 Nov 04 2024 09:15:01 %S A377682 1,0,4,6,40,180,948,5880,42208,344736,3158640,32091840,358107264, %T A377682 4353972480,57290002560,811116633600,12295029657600,198666240675840, %U A377682 3408788192947200,61898371424870400,1185883197069312000,23905764186329088000,505813884019270041600 %N A377682 Expansion of e.g.f. (1 - x * log(1 - x))^2. %F A377682 a(n) = n! * Sum_{k=0..floor(n/2)} k! * binomial(2,k) * |Stirling1(n-k,k)|/(n-k)!. %o A377682 (PARI) a(n) = n!*sum(k=0, n\2, k!*binomial(2, k)*abs(stirling(n-k, k, 1))/(n-k)!); %Y A377682 Cf. A377683, A377684. %Y A377682 Cf. A377685. %K A377682 nonn,easy %O A377682 0,3 %A A377682 _Seiichi Manyama_, Nov 04 2024