Stirling-like triangle by rows generated from (x-1)*(x-1)*(x-2)*(x-3)*(x-4)*...

Terms

a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-2a(5) =1a(6) =1a(7) =-4a(8) =5a(9) =-2a(10) =1a(11) =-7a(12) =17a(13) =-17a(14) =6a(15) =1a(16) =-11a(17) =45a(18) =-85a(19) =74a(20) =-24a(21) =1a(22) =-16a(23) =100a(24) =-310a(25) =499a(26) =-394a(27) =120a(28) =1a(29) =-22