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 A192055 E.g.f. satisfies: A(x) = Sum_{n>=0} A(2^n*x)^n * x^n/n!. 0

%I #4 Mar 30 2012 18:37:26

%S 1,1,5,85,3969,459281,125569153,79212732481,113540993392641,

%T 365157835665133825,2606331667566896138241,40900559102224525035430913,

%U 1399954043998218670311054016513,103806413322828910929240793184636929

%N E.g.f. satisfies: A(x) = Sum_{n>=0} A(2^n*x)^n * x^n/n!.

%e E.g.f.: A(x) = 1 + x + 5*x^2/2! + 85*x^3/3! + 3969*x^4/4! + 459281*x^5/5! +...

%e The e.g.f. satisfies:

%e A(x) = 1 + x*A(2*x) + x^2*A(4*x)^2/2! + x^3*A(8*x)^3/3! + x^4*A(16*x)^4/4! +...

%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*subst(A,x,2^m*x+x*O(x^(n)))^m/m!));n!*polcoeff(A,n)}

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jun 21 2011

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Last modified March 2 15:21 EST 2024. Contains 370494 sequences. (Running on oeis4.)