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Unreduced numerators of coefficients a(n)/2^A097087(n)*1/n! in function F(x) that satisfies F(F(x)) = x*exp(x).
1

%I #3 Mar 30 2012 18:36:41

%S 0,1,1,0,1,-5,9,287,-4455,84249,-284515,-35428349,814639275,

%T -3434408341,-1338006522699,6133774365735,413520124707781,

%U -45122925184812203,-231704968682873565,102526632234397695073,-2030875572224787003585,-76894817276627723872401

%N Unreduced numerators of coefficients a(n)/2^A097087(n)*1/n! in function F(x) that satisfies F(F(x)) = x*exp(x).

%C A097087 lists the exponents of 2 that form the unreduced denominators.

%F E.g.f.: F(x) = Sum_{n>=0} a(n)/2^A097087(n)*x^n/n! where F(F(x)) = x*exp(x).

%o (PARI) {a(n)=local(A,B,F=x*exp(x+x^2*O(x^n)));A=F; for(i=0,n,B=serreverse(A);A=(A+subst(B,x,F))/2); numerator(n!*polcoeff(A,n,x))}

%Y Cf. A097087.

%K sign

%O 0,6

%A _Paul D. Hanna_, Jul 23 2004