Array read by antidiagonals: T(n,m) is the number of matchings in the rook graph K_n X K_m.

Terms

a(0) =1a(1) =2a(2) =2a(3) =4a(4) =7a(5) =4a(6) =10a(7) =32a(8) =32a(9) =10a(10) =26a(11) =193a(12) =370a(13) =193a(14) =26a(15) =76a(16) =1382a(17) =5950a(18) =5950a(19) =1382a(20) =76a(21) =232a(22) =11719a(23) =122984a(24) =270529a(25) =122984a(26) =11719a(27) =232a(28) =764a(29) =112604