a(n) = Sum_{k=0..n} k^4*binomial(2*n-k,n).

Terms

a(0) =0a(1) =1a(2) =19a(3) =155a(4) =936a(5) =4884a(6) =23465a(7) =107107a(8) =472600a(9) =2036838a(10) =8631206a(11) =36119798a(12) =149724940a(13) =616104450a(14) =2520629685a(15) =10265200035a(16) =41650094640a(17) =168481778790a(18) =679847488650