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 A206179 #10 Feb 20 2025 14:04:15
%S A206179 1,4,25,196,1747,16996,175936,1907224,21423385,247515796,2925668236,
%T A206179 35239199704,431207470105,5347823877172,67093724913313,
%U A206179 850241358959044,10869754843088962,140045452765874704,1816842996684686656,23716478425653945472,311314468637807994391
%N A206179 G.f.: exp( Sum_{n>=1} x^n/n * Sum_{k=0..n} binomial(n,k)^3 * 3^k ).
%C A206179 Logarithmic derivative yields A206180.
%e A206179 G.f.: A(x) = 1 + 4*x + 25*x^2 + 196*x^3 + 1747*x^4 + 16996*x^5 +...
%e A206179 where
%e A206179 log(A(x)) = 4*x + 34*x^2/2 + 352*x^3/3 + 3946*x^4/4 + 46744*x^5/5 + 573616*x^6/6 +...+ A206180(n)*x^n/n +...
%o A206179 (PARI) {a(n)=polcoeff(exp(sum(m=1,n,x^m/m*sum(k=0,m,binomial(m,k)^3*3^k))+x*O(x^n)),n)}
%o A206179 for(n=0,41,print1(a(n),", "))
%Y A206179 Cf. A206180, A206177.
%K A206179 nonn
%O A206179 0,2
%A A206179 _Paul D. Hanna_, Feb 04 2012