Array read by ascending antidiagonals: A(n, k) is the number of (n, k)-poly-Cauchy permutations.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =1a(6) =6a(7) =5a(8) =4a(9) =1a(10) =24a(11) =17a(12) =13a(13) =8a(14) =1a(15) =120a(16) =74a(17) =51a(18) =35a(19) =16a(20) =1a(21) =720a(22) =394a(23) =244a(24) =161a(25) =97a(26) =32a(27) =1a(28) =5040a(29) =2484