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 A367162 #10 Nov 07 2023 08:23:48 %S A367162 1,1,7,94,1917,52806,1837511,77372590,3826454617,217450806550, %T A367162 13964683107195,1000222945246878,79058281093939109, %U A367162 6835704081028512886,641830800234353986639,65035909964873069979598,7073810997780630959477937,822049309574436641341233366 %N A367162 E.g.f. satisfies A(x) = 1 + A(x)^2 * (exp(x*A(x)) - 1). %F A367162 a(n) = Sum_{k=0..n} (n+2*k)!/(n+k+1)! * Stirling2(n,k). %o A367162 (PARI) a(n) = sum(k=0, n, (n+2*k)!/(n+k+1)!*stirling(n, k, 2)); %Y A367162 Cf. A000272, A052894, A367163. %K A367162 nonn %O A367162 0,3 %A A367162 _Seiichi Manyama_, Nov 07 2023