Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.

Terms

a(0) =1a(1) =-5a(2) =1a(3) =40a(4) =-15a(5) =1a(6) =-440a(7) =235a(8) =-30a(9) =1a(10) =6170a(11) =-4200a(12) =775a(13) =-50a(14) =1a(15) =-105315a(16) =86020a(17) =-20475a(18) =1925a(19) =-75a(20) =1a(21) =2120610a(22) =-2001055a(23) =577570a(24) =-70525a(25) =4025a(26) =-105a(27) =1a(28) =-49242470a(29) =52305780