Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^(k-j) * binomial(k,j) * (4+j)^n.

Terms

a(0) =1a(1) =4a(2) =1a(3) =16a(4) =9a(5) =2a(6) =64a(7) =61a(8) =30a(9) =6a(10) =256a(11) =369a(12) =302a(13) =132a(14) =24a(15) =1024a(16) =2101a(17) =2550a(18) =1830a(19) =720a(20) =120a(21) =4096a(22) =11529a(23) =19502a(24) =20460a(25) =13080a(26) =4680a(27) =720a(28) =16384a(29) =61741