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