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 A379911 #9 Jan 06 2025 04:22:25 %S A379911 1,0,1,-4,53,-656,11917,-244896,6080265,-171274240,5480682041, %T A379911 -195121452032,7672945614589,-329902678161408,15405361461450885, %U A379911 -776248476561903616,41985495698339969681,-2426188309657908936704,149180887282915274036977,-9725086440331395237937152 %N A379911 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x*A(x)^2. %F A379911 a(n) = -n! * Sum_{k=0..n} (-3*n+2*k-1)^(n-k-1) * binomial(3*n-k,k)/(n-k)!. %o A379911 (PARI) a(n) = -n!*sum(k=0, n, (-3*n+2*k-1)^(n-k-1)*binomial(3*n-k, k)/(n-k)!); %Y A379911 Cf. A377859, A379868, A379879. %Y A379911 Cf. A379858, A379871, A379910. %K A379911 sign %O A379911 0,4 %A A379911 _Seiichi Manyama_, Jan 05 2025