Triangle read by rows: T(n,k) = A022168(n,k)*n!/binomial(n,k) + 1 - n!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =37a(8) =37a(9) =1a(10) =1a(11) =487a(12) =1405a(13) =487a(14) =1a(15) =1a(16) =8065a(17) =69445a(18) =69445a(19) =8065a(20) =1a(21) =1a(22) =163081a(23) =4467745a(24) =13564261a(25) =4467745a(26) =163081a(27) =1a(28) =1a(29) =3926881