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A Hankel transform of a Catalan product.
0

%I #10 Mar 02 2022 02:08:20

%S 0,1,16,768,131072,83886080,206158430208,1970324836974592,

%T 73786976294838206464,10880332376531662572355584,

%U 6338253001141147007483516026880

%N A Hankel transform of a Catalan product.

%C -a(n) is the Hankel transform of A000108(n)*(2^n + 0^n)/2 = A003645(n-1). The Hankel transform of A003645(n) is 4^binomial(n+1, 2).

%F a(n) = 4^binomial(n,2)*n*2^(n-1);

%F a(n) = A053763(n)*A001787(n).

%K easy,nonn

%O 0,3

%A _Paul Barry_, Oct 11 2007