T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.
A203896
T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.
Terms
- a(0) =205a(1) =1940a(2) =1940a(3) =16842a(4) =72423a(5) =16842a(6) =131432a(7) =2634939a(8) =2634939a(9) =131432a(10) =940270a(11) =77658673a(12) =499486878a(13) =77658673a(14) =940270a(15) =6287755a(16) =1905833494a(17) =74956749750a(18) =74956749750a(19) =1905833494a(20) =6287755a(21) =39889619a(22) =40229386532
External references
- oeis: A203896