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%I #2 Mar 30 2012 18:37:07
%S 1,1,3,17,154,2024,36188,841196,24583200,880119000,37813650672,
%T 1917155945616,113110111375776,7674684562897728,592864081434168672,
%U 51688751369089356864,5047456043997923498496,548361788269165389069312
%N E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} -log(1 - kx).
%e E.g.f.: A(x) = 1 + x + 3x^2/2! + 17x^3/3! + 154x^4/4! +2024x^5/5! +...
%e A(x) = 1 - log(1-x) + log(1-x)*log(1-2x)/2! - log(1-x)*log(1-2x)*log(1-3x)/3! +...
%o (PARI) {a(n)=n!*polcoeff(1+sum(j=1,n,(1/j!)*prod(k=1,j,-log(1-k*x +x*O(x^n)))),n)}
%K nonn
%O 0,3
%A _Paul D. Hanna_, Nov 27 2007
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