Triangle T(n,k) = k! * Stirling1(n,k), 1<=k<=n.

Terms

a(0) =1a(1) =-1a(2) =2a(3) =2a(4) =-6a(5) =6a(6) =-6a(7) =22a(8) =-36a(9) =24a(10) =24a(11) =-100a(12) =210a(13) =-240a(14) =120a(15) =-120a(16) =548a(17) =-1350a(18) =2040a(19) =-1800a(20) =720a(21) =720a(22) =-3528a(23) =9744a(24) =-17640a(25) =21000a(26) =-15120a(27) =5040a(28) =-5040a(29) =26136