%I A141383
%S A141383 1,1,8,104,1724,33280,715308,16683724,415466708,10926375108,
%T A141383 301131874516,8648002744564,257687247253732,7940507243098200,
%U A141383 252374158974639744,8255994209084399972,277508512417717367138
%N A141383 G.f. satisfies: A(x) = x + A(A(A(A(x))))^2.
%F A141383 G.f. satisfies: A( x - A(A(A(x)))^2 ) = x.
%e A141383 G.f.: A(x) = x + x^2 + 8*x^3 + 104*x^4 + 1724*x^5 + 33280*x^6 +...
%e A141383 Related expansions:
%e A141383 A(A(x)) = x + 2*x^2 + 18*x^3 + 249*x^4 + 4304*x^5 + 85740*x^6 +...
%e A141383 A(A(A(x))) = x + 3*x^2 + 30*x^3 + 441*x^4 + 7958*x^5 + 163940*x^6 +...
%e A141383 A(A(A(A(x)))) = x + 4*x^2 + 44*x^3 + 686*x^4 + 12928*x^5 + 275758*x^6 
               +...
%e A141383 A(A(A(A(x))))^2 = x^2 + 8*x^3 + 104*x^4 + 1724*x^5 + 33280*x^6 +...
%e A141383 The series reversion of A(x) = x - A(A(A(x)))^2, where
%e A141383 A(A(A(x)))^2 = x^2 + 6*x^3 + 69*x^4 + 1062*x^5 + 19462*x^6 + 402088*x^7 
               +...
%o A141383 (PARI) {a(n)=local(A=x+x^2);for(i=1,n,A=x+subst(A^2,x,subst(A,x,subst(A,
               x,A+x*O(x^n)))));polcoeff(A,n)}
%Y A141383 Cf. A141380, A141381, A141382; A141372.
%Y A141383 Sequence in context: A001657 A106260 A112121 this_sequence A034300 A146346 
               A119934
%Y A141383 Adjacent sequences: A141380 A141381 A141382 this_sequence A141384 A141385 
               A141386
%K A141383 nonn
%O A141383 1,3
%A A141383 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 28 2008