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 A174495 #2 Mar 30 2012 18:37:21 %S A174495 1,5,45,575,9425,187455,4367245,116322645,3479863345,115353325835, %T A174495 4192244804645,165607074622665,7060695856372105,322973775761169135, %U A174495 15770136907303728205,818373668098974428885,44963322539225628107105 %N A174495 a(n) = coefficient of x^n/(n-1)! in the 5-fold iteration of x*exp(x). %F A174495 O.g.f.: Sum_{n>=1} A174494(n)*x^n/(1-n*x)^n, where A174494(n) = [x^n/(n-1)! ] E(E(E(E(x)))) and E(x) = x*exp(x). %e A174495 E.g.f.: x + 5*x^2 + 45*x^3/2! + 575*x^4/3! + 9425*x^5/4! +... %o A174495 (PARI) {a(n)=local(F=x, xEx=x*exp(x+x*O(x^n))); for(i=1,5,F=subst(F, x, xEx));(n-1)!*polcoeff(F, n)} %Y A174495 Cf. A174480, A080108, A174493, A174494, A174496. %K A174495 nonn %O A174495 1,2 %A A174495 _Paul D. Hanna_, Apr 17 2010