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 A278333 #13 Nov 23 2016 09:06:19 %S A278333 1,1,3,22,181,2111,31471,563305,11634169,275850685 %N A278333 a(n) = A278332(n+1)/(n+1) for n>=0. %C A278333 E.g.f. of A278332 equals the limit of the average of all permutations of the compositions of the functions x*exp(x^k), for k=1..n, as n increases. %e A278333 E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 181*x^4/4! + 2111*x^5/5! + 31471*x^6/6! + 563305*x^7/7! + 11634169*x^8/8! + 275850685*x^9/9! +... %e A278333 RELATED SERIES. %e A278333 log(A(x)) = x + 2*x^2/2! + 15*x^3/3! + 96*x^4/4! + 1100*x^5/5! + 15870*x^6/6! + 278817*x^7/7! + 5558616*x^8/8! + 129258684*x^9/9! +... %Y A278333 Cf. A278332. %K A278333 nonn,more %O A278333 0,3 %A A278333 _Paul D. Hanna_, Nov 18 2016