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

Terms

a(0) =16a(1) =108a(2) =281a(3) =574a(4) =1156a(5) =2271a(6) =4339a(7) =8008a(8) =14257a(9) =24519a(10) =40840a(11) =66082a(12) =104179a(13) =160456a(14) =242022a(15) =358249a(16) =521350a(17) =747070a(18) =1055505a(19) =1472065a(20) =2028598a(21) =2764693a(22) =3729181a(23) =4981854a(24) =6595423a(25) =8657737a(26) =11274286a(27) =14571012a(28) =18697453a(29) =23830246