Search: id:A095793
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%I A095793
%S A095793 1,1,1,2,7,36,245,2072,20913,245012,3265581,48766020,806254126,
%T A095793 14616629622,288272307999,6144034279588,140715744051270,
%U A095793 3446290524236454,89874216926157157,2486386071747194244
%N A095793 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^n)...)^3)^2)^1.
%e A095793 G.f.: A(x)=1+x*B(x), B(x)=1+x*C(x)^2, C(x)=1+x*D(x)^3, D(x)=1+x*E(x)^4, 
               ...
%e A095793 Also, the derivative of A(x) is the series:
%e A095793 A' = B+ x*C^2+ 2!*x^2*C*D^3+ 3!*x^3*C*D^2*E^4+ 4!*x^4*C*D^2*E^3*F^5+...
%e A095793 where A(x),B(x),C(x),... are the g.f. of the sequences given below.
%e A095793 A=[1,1,1,2,7,36,245,2072,20913,245012,...]
%e A095793 B=[1,1,2,7,36,245,2072,20913,245012,3265581,...]
%e A095793 C=[1,1,3,15,103,888,9147,109150,1477575,22349316,...]
%e A095793 D=[1,1,4,26,224,2351,28760,399314,6183132,105455687,...]
%e A095793 E=[1,1,5,40,415,5145,73121,1162620,20358145,388334030,...]
%e A095793 F=[1,1,6,57,692,9906,160656,2884554,56502264,1195386975,...]
%o A095793 (PARI) a(n)=local(A);A=1+x+x*O(x^n);for(j=0,n-1,A=1+x*A^(n-j));polcoeff(A,
               n)
%Y A095793 Sequence in context: A119736 A088715 A088313 this_sequence A029768 A167199 
               A007889
%Y A095793 Adjacent sequences: A095790 A095791 A095792 this_sequence A095794 A095795 
               A095796
%K A095793 nonn
%O A095793 0,4
%A A095793 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 06 2004

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