T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock.

Terms

a(0) =81a(1) =294a(2) =294a(3) =905a(4) =722a(5) =905a(6) =2584a(7) =1372a(8) =1372a(9) =2584a(10) =7353a(11) =2660a(12) =1494a(13) =2660a(14) =7353a(15) =20800a(16) =5034a(17) =1780a(18) =1780a(19) =5034a(20) =20800a(21) =58896a(22) =9752a(23) =2478a(24) =2356a(25) =2478a(26) =9752a(27) =58896a(28) =167240a(29) =18468