T(n,k)=Number of nXk 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0.

A229402

T(n,k)=Number of nXk 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0.

Terms

    a(0) =1a(1) =2a(2) =2a(3) =4a(4) =5a(5) =4a(6) =8a(7) =13a(8) =13a(9) =8a(10) =16a(11) =34a(12) =44a(13) =34a(14) =16a(15) =32a(16) =89a(17) =153a(18) =153a(19) =89a(20) =32a(21) =64a(22) =233a(23) =536a(24) =711a(25) =536a(26) =233a(27) =64a(28) =128a(29) =610

External references