Triangle read by rows: matrix 4th power of the Stirling-1 triangle A008275.

Terms

a(0) =1a(1) =-4a(2) =1a(3) =26a(4) =-12a(5) =1a(6) =-234a(7) =152a(8) =-24a(9) =1a(10) =2696a(11) =-2210a(12) =500a(13) =-40a(14) =1a(15) =-37919a(16) =36976a(17) =-10710a(18) =1240a(19) =-60a(20) =1a(21) =630521a(22) =-704837a(23) =245896a(24) =-36750a(25) =2590a(26) =-84a(27) =1a(28) =-12111114a(29) =15132932