T(n,k)=Number of nXk nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once).

A203022

T(n,k)=Number of nXk nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once).

Terms

    a(0) =0a(1) =1a(2) =1a(3) =2a(4) =8a(5) =2a(6) =4a(7) =36a(8) =36a(9) =4a(10) =12a(11) =544a(12) =3216a(13) =544a(14) =12a(15) =44a(16) =12700a(17) =257664a(18) =257664a(19) =12700a(20) =44a(21) =176a(22) =431432a(23) =69822004a(24) =464458656a(25) =69822004a(26) =431432a(27) =176a(28) =768a(29) =17482140

External references