a(n) = Sum_{k=0..n} binomial(n+4*k-1,n-k) * Catalan(k).

A360101

a(n) = Sum_{k=0..n} binomial(n+4*k-1,n-k) * Catalan(k).

Terms

    a(0) =1a(1) =1a(2) =7a(3) =40a(4) =234a(5) =1432a(6) =9078a(7) =59113a(8) =393125a(9) =2659233a(10) =18240801a(11) =126588424a(12) =887221916a(13) =6271153060a(14) =44652824248a(15) =319990906290

External references