Number of n X 2 0..1 arrays with no 1 adjacent to 2 king-move neighboring 1s.

Terms

a(0) =4a(1) =12a(2) =30a(3) =96a(4) =286a(5) =848a(6) =2620a(7) =7964a(8) =24332a(9) =74740a(10) =228968a(11) =702656a(12) =2157520a(13) =6622672a(14) =20336808a(15) =62452688a(16) =191784960a(17) =588994592a(18) =1808876976a(19) =5555328528a(20) =17061469024a(21) =52399035584a(22) =160927919584a(23) =494243002176