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

Terms

a(0) =81a(1) =435a(2) =435a(3) =2174a(4) =5433a(5) =2174a(6) =11545a(7) =60958a(8) =60958a(9) =11545a(10) =61055a(11) =731603a(12) =1415117a(13) =731603a(14) =61055a(15) =326262a(16) =8680769a(17) =36167196a(18) =36167196a(19) =8680769a(20) =326262a(21) =1745153a(22) =103860036a(23) =901210126a(24) =2009833839a(25) =901210126a(26) =103860036a(27) =1745153a(28) =9357963