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

Terms

a(0) =16a(1) =108a(2) =358a(3) =884a(4) =1928a(5) =3902a(6) =7490a(7) =13784a(8) =24467a(9) =42053a(10) =70195a(11) =114073a(12) =180875a(13) =280385a(14) =425693a(15) =634043a(16) =927836a(17) =1335806a(18) =1894388a(19) =2649298a(20) =3657346a(21) =4988504a(22) =6728252a(23) =8980226a(24) =11869193a(25) =15544379a(26) =20183177a(27) =25995263a(28) =33227149a(29) =42167203