Triangle T(n,k) giving coefficients in expansion of n!*binomial(x-n,n) in powers of x.

Terms

a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-5a(5) =6a(6) =1a(7) =-12a(8) =47a(9) =-60a(10) =1a(11) =-22a(12) =179a(13) =-638a(14) =840a(15) =1a(16) =-35a(17) =485a(18) =-3325a(19) =11274a(20) =-15120a(21) =1a(22) =-51a(23) =1075a(24) =-11985a(25) =74524a(26) =-245004a(27) =332640a(28) =1a(29) =-70