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 A384760 #9 Jun 09 2025 10:33:35 %S A384760 1,-1,1,5,-35,-281,5671,42671,-2179127,-9146017,1529743051, %T A384760 -2876300681,-1703719191635,19006164045023,2748187169359087, %U A384760 -67807538576332801,-6002760779933693039,267196356696377129023,16763997717087046669459,-1258157898725874129675001 %N A384760 E.g.f. A(x) satisfies A(x) = exp( -x*A(x) * A(-x*A(x)) ). %F A384760 See A384761. %e A384760 E.g.f.: A(x) = 1 - x + x^2/2 + 5*x^3/6 - 35*x^4/24 - 281*x^5/120 + ... %e A384760 A(x) * A(-x*A(x)) = 1 - 2*x^2/2 + 3*x^3/6 + 80*x^4/24 - 535*x^5/120 - ... %o A384760 (PARI) a(n, k=1) = if(k==0, 0^n, (-1)^n*k*sum(j=0, n, (n+k)^(j-1)*binomial(n, j)*a(n-j, j))); %Y A384760 Column k=1 of A384761. %K A384760 sign %O A384760 0,4 %A A384760 _Seiichi Manyama_, Jun 09 2025