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 A384740 #9 Jun 09 2025 10:34:09 %S A384740 1,1,3,34,665,20556,901417,52455250,3885229665,355223077336, %T A384740 39166024398641,5113078496932374,778733373110049601, %U A384740 136679150176555902436,27360426865918664532393,6191378995818235673842546,1571577905668087973855557313,444441393534829346316950781744 %N A384740 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x)^3) ). %F A384740 See A384742. %o A384740 (PARI) a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, (3*n-3*j+k)^(j-1)*binomial(n, j)*a(n-j, j))); %Y A384740 Column k=1 of A384742. %Y A384740 Cf. A000272, A162659, A384739. %Y A384740 Cf. A384720. %K A384740 nonn %O A384740 0,3 %A A384740 _Seiichi Manyama_, Jun 08 2025