T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down.

A252983

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =0a(5) =1a(6) =3a(7) =1a(8) =1a(9) =3a(10) =6a(11) =13a(12) =1a(13) =13a(14) =6a(15) =10a(16) =41a(17) =33a(18) =33a(19) =41a(20) =10a(21) =15a(22) =85a(23) =266a(24) =68a(25) =266a(26) =85a(27) =15a(28) =21a(29) =145

External references