A158269 - cp's OEIS frontend

A158269 a(n) = coefficient of x^n in the (2^n)-th iteration of x*C(x) where C(x) is the Catalan function (A000108), for n>=1.

%I A158269 #2 Mar 30 2012 18:37:16
%S A158269 1,4,72,4760,1196800,1185344160,4704904407424,75251548566631296,
%T A158269 4850542035077717613312,1257976093502471658023554560,
%U A158269 1310350352604009611135942297681920
%N A158269 a(n) = coefficient of x^n in the (2^n)-th iteration of x*C(x) where C(x) is the Catalan function (A000108), for n>=1.
%o A158269 (PARI) {a(n)=local(G=serreverse(x-x^2+O(x^(n+2))));for(i=2,n+1,G=subst(G,x,G));polcoeff(G,n)}
%Y A158269 Cf. A158268, A000108, A158825.
%K A158269 nonn
%O A158269 1,2
%A A158269 _Paul D. Hanna_, Mar 28 2009

cp's OEIS Frontend

A158269 a(n) = coefficient of x^n in the (2^n)-th iteration of x*C(x) where C(x) is the Catalan function (A000108), for n>=1.