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 A124835 #3 Mar 30 2012 18:37:01 %S A124835 1,2,4,9,25,91,444,2920,25996,314752,5201874,117719942,3658433597, %T A124835 156505343943,9234365056453,752841451059559,84938741035295776, %U A124835 13279814559055121447,2880581923860441220144,867855593621657824023139 %N A124835 Row sums of triangle A124834. %F A124835 G.f.: A(x) = Sum_{k>=0} x^n * Product_{k=0..n} 1/(1 - binomial(n,k)*x). %e A124835 A(x) = 1/(1-x) + x/((1-x)(1-x)) + x^2/((1-x)(1-2x)(1-x)) + x^3/((1-x)(1-3x)(1-3x)(1-x)) + x^4/((1-x)(1-4x)(1-6x)(1-4x)(1-x)) +... %o A124835 (PARI) {a(n)=sum(k=0,n,polcoeff(1/prod(j=0,k,1-binomial(k,j)*x +x*O(x^n)),n-k))} %Y A124835 Cf. A124834, A124836. %K A124835 nonn %O A124835 0,2 %A A124835 _Paul D. Hanna_, Nov 09 2006