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 A367078 #26 Nov 07 2023 08:27:39 %S A367078 1,1,3,14,82,514,2508,-12328,-820752,-22232232,-498433320,-9865850688, %T A367078 -159373484448,-1136343398880,65056426313760,4663237803223680, %U A367078 210535052582008320,7821007002377349120,242387957802121971840,5333182310844833642496 %N A367078 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^2). %F A367078 a(n) = (2*n)! * Sum_{k=0..n} Stirling1(n,k)/(2*n-k+1)!. %o A367078 (PARI) a(n) = (2*n)!*sum(k=0, n, stirling(n, k, 1)/(2*n-k+1)!); %Y A367078 Cf. A185221, A367079. %Y A367078 Cf. A367080, A367153. %K A367078 sign %O A367078 0,3 %A A367078 _Seiichi Manyama_, Nov 07 2023