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%I #8 Mar 30 2012 18:55:30
%S 1,2,7,36,245,2071,20813,241344,3161473,46056783,737269244,
%T 12845501191,241719339485,4881205089541,105209993413879,
%U 2409362123140160,58389484394798549,1492265790284314961,40096619357257356256,1129638216589178869291
%N Binomial row sums of triangle A191490.
%H Vincenzo Librandi, <a href="/A191493/b191493.txt">Table of n, a(n) for n = 0..64</a>
%t f[n_, k_] := f[n, k] = f[n - 1, k] + (n - 1)f[n - 1, k - 1] + If[n == k, 1, 0]
%t f[_, 0] = 1;
%t f[0, _] = 0;
%t Table[Sum[Binomial[n, k]f[n, k], {k, 0, n}], {n, 0, 100}]
%o (Maxima) P[0]:1$
%o P[n]:=(1+(n-1)*q)*P[n-1]+q^n$
%o makelist(sum(binomial(n,k)*coeff(expand(P[n]),q^k),k,0,n),n,0,24);
%Y Cf. A191490.
%K nonn
%O 0,2
%A _Emanuele Munarini_, Jun 03 2011
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