Array T(m,n) read by antidiagonals: number of domino tilings of the 2m X 2n grid (m>=0, n>=0).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =5a(8) =5a(9) =1a(10) =1a(11) =13a(12) =36a(13) =13a(14) =1a(15) =1a(16) =34a(17) =281a(18) =281a(19) =34a(20) =1a(21) =1a(22) =89a(23) =2245a(24) =6728a(25) =2245a(26) =89a(27) =1a(28) =1a(29) =233