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A135752 E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} [exp(kx) - 1]. 2

%I #4 May 05 2014 03:53:47

%S 1,1,3,16,129,1436,20853,379716,8421969,222507532,6879755613,

%T 245389976756,9977456650329,457823345757948,23505009169553733,

%U 1340233911805244836,84321693844646338209,5820386696023034821484

%N E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} [exp(kx) - 1].

%H Vaclav Kotesovec, <a href="/A135752/b135752.txt">Table of n, a(n) for n = 0..180</a>

%o (PARI) {a(n)=n!*polcoeff(1+sum(j=1,n,(1/j!)*prod(k=1,j,exp(k*x +x*O(x^n))-1)),n)}

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 27 2007

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Last modified April 19 18:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)