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.
1, 4, 72, 4760, 1196800, 1185344160, 4704904407424, 75251548566631296, 4850542035077717613312, 1257976093502471658023554560, 1310350352604009611135942297681920
Offset: 1
Keywords
Programs
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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)}