A134183 A Hankel transform of a Catalan product.

0, 1, 16, 768, 131072, 83886080, 206158430208, 1970324836974592, 73786976294838206464, 10880332376531662572355584, 6338253001141147007483516026880

Offset: 0

Author

Paul Barry, Oct 11 2007

Keywords

• easy
• nonn

Comments

-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).

Formula

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

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