Generalized Stirling number triangle of first kind.

Terms

a(0) =1a(1) =-4a(2) =1a(3) =20a(4) =-9a(5) =1a(6) =-120a(7) =74a(8) =-15a(9) =1a(10) =840a(11) =-638a(12) =179a(13) =-22a(14) =1a(15) =-6720a(16) =5944a(17) =-2070a(18) =355a(19) =-30a(20) =1a(21) =60480a(22) =-60216a(23) =24574a(24) =-5265a(25) =625a(26) =-39a(27) =1a(28) =-604800a(29) =662640