Triangle T(n, k) = n! * binomial(n, k)*( psi(n-k+1) - psi(k+1) ), read by rows.

Terms

a(0) =0a(1) =1a(2) =-1a(3) =3a(4) =0a(5) =-3a(6) =11a(7) =9a(8) =-9a(9) =-11a(10) =50a(11) =80a(12) =0a(13) =-80a(14) =-50a(15) =274a(16) =650a(17) =400a(18) =-400a(19) =-650a(20) =-274a(21) =1764a(22) =5544a(23) =6300a(24) =0a(25) =-6300a(26) =-5544a(27) =-1764a(28) =13068a(29) =51156