Table read by rows. T(n, k) = [x^k] n! * Sum_{j=0..n} binomial(n*x, j).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =4a(6) =6a(7) =15a(8) =0a(9) =27a(10) =24a(11) =56a(12) =176a(13) =-128a(14) =256a(15) =120a(16) =470a(17) =125a(18) =3125a(19) =-3125a(20) =3125a(21) =720a(22) =2664a(23) =10944a(24) =-16200a(25) =71280a(26) =-69984a(27) =46656a(28) =5040a(29) =26796