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

Terms

a(0) =8a(1) =64a(2) =316a(3) =1118a(4) =3177a(5) =7745a(6) =16857a(7) =33615a(8) =62518a(9) =109838a(10) =184042a(11) =296260a(12) =460799a(13) =695703a(14) =1023359a(15) =1471149a(16) =2072148a(17) =2865868a(18) =3899048a(19) =5226490a(20) =6911941a(21) =9029021a(22) =11662197a(23) =14907803a(24) =18875106a(25) =23687418a(26) =29483254a(27) =36417536a(28) =44662843a(29) =54410707