T(n,k)=Number of (n+1)X(k+1) 0..3 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) nondecreasing in column and row directions, respectively.
A203741
T(n,k)=Number of (n+1)X(k+1) 0..3 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) nondecreasing in column and row directions, respectively.
Terms
- a(0) =90a(1) =499a(2) =499a(3) =2166a(4) =3912a(5) =2166a(6) =8667a(7) =23442a(8) =23442a(9) =8667a(10) =31942a(11) =114276a(12) =178836a(13) =114276a(14) =31942a(15) =111916a(16) =488745a(17) =1091807a(18) =1091807a(19) =488745a(20) =111916a(21) =376415a(22) =1868452a(23) =5538127a(24) =7927078a(25) =5538127a(26) =1868452a(27) =376415a(28) =1228141a(29) =6571172
External references
- oeis: A203741