T(n,k)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row.
A221623
T(n,k)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row.
Terms
- a(0) =1a(1) =2a(2) =1a(3) =6a(4) =3a(5) =1a(6) =24a(7) =27a(8) =4a(9) =1a(10) =120a(11) =410a(12) =112a(13) =5a(14) =1a(15) =720a(16) =10055a(17) =6120a(18) =453a(19) =6a(20) =1a(21) =5040a(22) =353654a(23) =738150a(24) =85035a(25) =1818a(26) =7a(27) =1a(28) =40320a(29) =17052210
External references
- oeis: A221623