Number of 3 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.

Terms

a(0) =8a(1) =27a(2) =54a(3) =96a(4) =157a(5) =241a(6) =352a(7) =494a(8) =671a(9) =887a(10) =1146a(11) =1452a(12) =1809a(13) =2221a(14) =2692a(15) =3226a(16) =3827a(17) =4499a(18) =5246a(19) =6072a(20) =6981a(21) =7977a(22) =9064a(23) =10246a(24) =11527a(25) =12911a(26) =14402a(27) =16004a(28) =17721a(29) =19557