Triangle read by rows: T(n,k) = A022167(n,k)*n!/binomial(n,k) + 1 - n!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =21a(8) =21a(9) =1a(10) =1a(11) =217a(12) =497a(13) =217a(14) =1a(15) =1a(16) =2785a(17) =14401a(18) =14401a(19) =2785a(20) =1a(21) =1a(22) =42961a(23) =527809a(24) =1218961a(25) =527809a(26) =42961a(27) =1a(28) =1a(29) =781921