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 A379943 #10 Jan 07 2025 08:45:18 %S A379943 1,8,76,844,10776,155844,2520856,45125924,886037216,18938440324, %T A379943 437820992136,10886467502244,289738784758096,8218731027307844, %U A379943 247539834718198136,7889896358130120484,265325716114102815936,9388476560982511842564,348703400008471862936296 %N A379943 Expansion of e.g.f. 1/( exp(-x) - x )^4. %F A379943 E.g.f.: B(x)^4, where B(x) is the e.g.f. of A072597. %F A379943 a(n) = n! * Sum_{k=0..n} (k+4)^(n-k) * binomial(k+3,3)/(n-k)!. %o A379943 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(exp(-x)-x)^4)) %o A379943 (PARI) a(n) = n!*sum(k=0, n, (k+4)^(n-k)*binomial(k+3, 3)/(n-k)!); %Y A379943 Cf. A072597, A379933, A379942. %K A379943 nonn %O A379943 0,2 %A A379943 _Seiichi Manyama_, Jan 07 2025