Triangle T(n, k) = n! * StirlingS1(n, k)/binomial(n, k), read by rows.

Terms

a(0) =1a(1) =-1a(2) =2a(3) =4a(4) =-6a(5) =6a(6) =-36a(7) =44a(8) =-36a(9) =24a(10) =576a(11) =-600a(12) =420a(13) =-240a(14) =120a(15) =-14400a(16) =13152a(17) =-8100a(18) =4080a(19) =-1800a(20) =720a(21) =518400a(22) =-423360a(23) =233856a(24) =-105840a(25) =42000a(26) =-15120a(27) =5040a(28) =-25401600a(29) =18817920