A143925 - OEIS

%I #5 Feb 22 2014 06:10:28

%S 1,1,3,25,397,10061,369061,18415825,1197307161,98248658905,

%T 9928361978281,1211474323983221,175635827999270629,

%U 29845580180227776277,5876070628821158239293,1327055145216772464211321

%N E.g.f. A(x) satisfies: A(x) = exp(x + x^2*A'(x)).

%H Vaclav Kotesovec, <a href="/A143925/b143925.txt">Table of n, a(n) for n = 0..250</a>

%F a(n) ~ c * (n!)^2, where c = 0.80799863989712622039... - _Vaclav Kotesovec_, Feb 22 2014

%o (PARI) {a(n)=local(A=1+x);for(i=0,n,A=exp(x+x^2*deriv(A)+x*O(x^n)));n!*polcoeff(A,n)}

%K nonn

%O 0,3

%A _Paul D. Hanna_, Sep 06 2008