Coefficient triangle for polynomials used for o.g.f.s for unsigned Stirling1 diagonals.

Terms

a(0) =1a(1) =2a(2) =1a(3) =6a(4) =8a(5) =1a(6) =24a(7) =58a(8) =22a(9) =1a(10) =120a(11) =444a(12) =328a(13) =52a(14) =1a(15) =720a(16) =3708a(17) =4400a(18) =1452a(19) =114a(20) =1a(21) =5040a(22) =33984a(23) =58140a(24) =32120a(25) =5610a(26) =240a(27) =1a(28) =40320a(29) =341136