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%I A124535 #5 Jun 14 2017 00:12:35
%S A124535 1,1,6,36,216,961,5977,39363,271564,1949165,14487241,111115804,
%T A124535 877086405,7109569724,59075905996,502464618671,4369068613929,
%U A124535 38796820526316,351496911119002,3246426019892427,30543990287835441
%N A124535 Row 5 of rectangular table A124530.
%C A124535 In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.
%F A124535 G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(5n), where R_n(x) is the g.f. of row n in table A124530.
%o A124535 (PARI) a(n)=local(R);R=vector(n+6,r,vector(n+6,c,if(r==1 || c<=2,1,r^(c-2)))); for(i=0,n,for(r=0,n,R[r+1]=Vec(sum(c=0,n,x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); R[6][n+1]
%Y A124535 Cf. A124530 (table); other rows: A124531, A124532, A124533, A124534, A124536.
%K A124535 nonn
%O A124535 0,3
%A A124535 _Paul D. Hanna_, Nov 05 2006

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