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 A379884 #16 Jan 09 2025 19:41:47 %S A379884 1,2,15,223,5045,154161,5949715,277816813,15234148585,959821848433, %T A379884 68333878996991,5425649143910733,475370226250388221, %U A379884 45559752911807595865,4741534923025152367627,532526268840445510805341,64198018232238090097818065,8268729272698380485865553761 %N A379884 E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^2) - x). %F A379884 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(n+k+1,n-k)/k!. %o A379884 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(n+k+1, n-k)/k!); %Y A379884 Cf. A377892, A379867. %Y A379884 Cf. A088690. %K A379884 nonn %O A379884 0,2 %A A379884 _Seiichi Manyama_, Jan 05 2025