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

Terms

a(0) =8a(1) =36a(2) =100a(3) =228a(4) =465a(5) =879a(6) =1568a(7) =2668a(8) =4362a(9) =6890a(10) =10560a(11) =15760a(12) =22971a(13) =32781a(14) =45900a(15) =63176a(16) =85612a(17) =114384a(18) =150860a(19) =196620a(20) =253477a(21) =323499a(22) =409032a(23) =512724a(24) =637550a(25) =786838a(26) =964296a(27) =1174040a(28) =1420623a(29) =1709065