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 A384757 #13 Jun 09 2025 10:33:43 %S A384757 1,-1,-1,14,9,-1516,4345,507870,-4984063,-367545880,7749976401, %T A384757 471799390490,-18036953224367,-948817553760324,60774529797257081, %U A384757 2736041193224490494,-284790488755979731455,-10493764378757426300848,1792499910367109444364961,49177040508763120698604578 %N A384757 E.g.f. A(x) satisfies A(x) = exp( -x * A(-x*A(x)) ). %F A384757 See A384758. %e A384757 E.g.f.: A(x) = 1 - x - x^2/2 + 14*x^3/6 + 9*x^4/24 - 1516*x^5/120 + ... %e A384757 A(-x*A(x)) = 1 + x - 3*x^2/2 - 11*x^3/6 + 233*x^4/24 + 621*x^5/120 - ... %o A384757 (PARI) a(n, k=1) = if(k==0, 0^n, (-1)^n*k*sum(j=0, n, (n-j+k)^(j-1)*binomial(n, j)*a(n-j, j))); %Y A384757 Column k=1 of A384758. %Y A384757 Cf. A162659, A384760. %K A384757 sign %O A384757 0,4 %A A384757 _Seiichi Manyama_, Jun 09 2025