%I A088716
%S A088716 1,1,3,14,85,621,5236,49680,521721,5994155,74701055,1003125282,
%T A088716 14437634276,221727608284,3619710743580,62605324014816,1143782167355649,
%U A088716 22014467470369143,445296254367273457,9444925598142843970
%N A088716 G.f. satisfies: A(x) = 1 + x*A(x)*d/dx[x*A(x)] = 1 + x*A(x)^2 + x^2*A(x)*A'(x).
%F A088716 a(0)=1, a(n) = sum(k=1, n, k*a(k-1)*a(n-k) ). G.f.: A(x) = serreverse(x/
               f(x))/x where f(x) is the g.f. of A088715.
%F A088716 Self-convolution is A112916, where a(n) = (n+1)/2*A112916(n-1) for n>
               0.
%o A088716 (PARI) a(n)=if(n==0,1,sum(k=0,n-1,(k+1)*a(k)*a(n-k-1)))
%Y A088716 Cf. A112916 (A^2), A112911, A112912, A112913, A112914.
%Y A088716 Cf. A088715.
%Y A088716 Sequence in context: A005700 A088717 A111538 this_sequence A005189 A074520 
               A127715
%Y A088716 Adjacent sequences: A088713 A088714 A088715 this_sequence A088717 A088718 
               A088719
%K A088716 nonn
%O A088716 0,3
%A A088716 Paul D. Hanna (pauldhanna(AT)juno.com), Oct 12 2003