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E.g.f. A(x) satisfies A(x-log(1+A(x))) = x.
0

%I #26 May 07 2012 12:23:48

%S 1,2,15,224,5200,167424,6996122,363310576,22741864200,1677611592480,

%T 143328641594952,13988817772571520,1542398646441873168,

%U 190361863036446487008,26095697861706317389680,3947266360959268571030784,655067435627521423087457280

%N E.g.f. A(x) satisfies A(x-log(1+A(x))) = x.

%F a(n)=n!*T(n,1), T(n,m)=m/n*sum(k=1..n-m, sum(i=k..n-m, T(n-m,i)*stirling1(i,k)*k!/i!)*binomial(n+k-1,n-1)), n>m, T(n,n)=1.

%o (Maxima) array(TL,fixnum,30,30); T(n,m):=if n=m then 1 else if TL[n,m]=0 then TL[n,m]:m/n*sum(sum(T(n-m,i)*stirling1(i,k)*k!/i!,i,k,n-m)*binomial(n+k-1,n-1),k,1,n-m) else TL[n,m]; makelist(n!*T(n,1),n,1,25);

%K nonn

%O 1,2

%A _Vladimir Kruchinin_, May 07 2012