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PROG
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(PARI) {a(n)=local(A=1+x); for(i=1, n, A=sum(m=0, n, (exp(x*A^m +x*O(x^n))-1)^m/m!)); n!*polcoeff(A, n)}
for(n=0, 21, print1(a(n), ", "))
(PARI) {Stirling2(n, k)=n!*polcoeff(((exp(x+x*O(x^n))-1)^k)/k!, n)}
{a(n)=local(A=1+x); for(i=1, n, A=sum(m=0, n, sum(k=0, m, Stirling2(m, k)*(A+x*O(x^n))^(m*k))*x^m/m!)); n!*polcoeff(A, n)}
for(n=0, 21, print1(a(n), ", "))
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