Triangle read by rows: T(n,k) = A022166(n,k)*n!/binomial(n,k) + 1 - n!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =9a(8) =9a(9) =1a(10) =1a(11) =67a(12) =117a(13) =67a(14) =1a(15) =1a(16) =625a(17) =1741a(18) =1741a(19) =625a(20) =1a(21) =1a(22) =6841a(23) =30529a(24) =49501a(25) =30529a(26) =6841a(27) =1a(28) =1a(29) =86401