Number of n X 4 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Terms

a(0) =11a(1) =56a(2) =180a(3) =461a(4) =1040a(5) =2164a(6) =4246a(7) =7950a(8) =14308a(9) =24877a(10) =41945a(11) =68796a(12) =110045a(13) =172055a(14) =263449a(15) =395731a(16) =584031a(17) =847990a(18) =1212802a(19) =1710431a(20) =2381022a(21) =3274526a(22) =4452560a(23) =5990524a(24) =7979998a(25) =10531443a(26) =13777231a(27) =17875030a(28) =23011571a(29) =29406825