%I A143921
%S A143921 1,1,3,10,49,281,1975,15933,147457,1528282,17603351,222691261,
%T A143921 3072168481,45882929925,737717712439,12703639993306,233281370579713,
%U A143921 4550465650811445,93966210612477271,2047838398486924977
%N A143921 E.g.f. A(x) satisfies: A(x) = exp(x + x*Integral A(x) dx).
%F A143921 E.g.f. A(x) satisfies: log(A(x)) = x*A'(x)/A(x) - x^2*A(x).
%e A143921 E.g.f. A(x) = 1 + x + 3*x^2/2! + 10*x^3/3! + 49*x^4/4! + 281*x^5/5! +...
%e A143921 log(A(x)) = x + x^2 + x^3/2! + 3*x^4/3! + 10*x^5/4! + 49*x^6/5! +...
%e A143921 A'(x)/A(x) = 1 + 2*x + 3*x^2/2! + 12*x^3/3! + 50*x^4/4! + 294*x^5/5! 
               +...
%o A143921 (PARI) {a(n)=local(A=1+x+x*O(x^n));for(i=0,n,A=exp(x+x*intformal(A)));
               n!*polcoeff(A,n)}
%Y A143921 Sequence in context: A105748 A140964 A005921 this_sequence A082426 A054381 
               A102088
%Y A143921 Adjacent sequences: A143918 A143919 A143920 this_sequence A143922 A143923 
               A143924
%K A143921 nonn
%O A143921 0,3
%A A143921 Paul D. Hanna (pauldhanna(AT)juno.com), Sep 06 2008