T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 1 and every value increasing by 0 or 1 with every step right, diagonally se or down.

A252889

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 1 and every value increasing by 0 or 1 with every step right, diagonally se or down.

Terms

    a(0) =0a(1) =1a(2) =1a(3) =2a(4) =1a(5) =2a(6) =3a(7) =8a(8) =8a(9) =3a(10) =4a(11) =16a(12) =18a(13) =16a(14) =4a(15) =5a(16) =24a(17) =94a(18) =94a(19) =24a(20) =5a(21) =6a(22) =32a(23) =190a(24) =386a(25) =190a(26) =32a(27) =6a(28) =7a(29) =40

External references