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 A379871 #12 Jan 05 2025 09:58:24 %S A379871 1,0,1,-1,37,-151,5041,-45277,1548457,-23466079,857700181, %T A379871 -18904086037,752753527021,-21985835786383,961877988836857, %U A379871 -34996151990315341,1686330291491184337,-73237182836313686719,3882675760305075969949,-195288563442324161608165 %N A379871 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x*A(x)^3. %F A379871 E.g.f.: ( (1/x) * Series_Reversion( x / (exp(-x) + x)^3 ) )^(1/3). %F A379871 a(n) = -n! * Sum_{k=0..n} (-3*n+k-1)^(n-k-1) * binomial(3*n,k)/(n-k)!. %o A379871 (PARI) a(n) = -n!*sum(k=0, n, (-3*n+k-1)^(n-k-1)*binomial(3*n, k)/(n-k)!); %Y A379871 Cf. A379876, A379877, A379878. %Y A379871 Cf. A108919, A379868. %K A379871 sign %O A379871 0,5 %A A379871 _Seiichi Manyama_, Jan 05 2025