Number of n X 5 binary arrays with every 1 having exactly three king-move neighbors equal to 1.

Terms

a(0) =1a(1) =6a(2) =13a(3) =22a(4) =60a(5) =147a(6) =310a(7) =723a(8) =1723a(9) =3917a(10) =8973a(11) =20875a(12) =48427a(13) =111384a(14) =256857a(15) =599340a(16) =1384994a(17) =3187563a(18) =7469888a(19) =17334233a(20) =39905291a(21) =94076289a(22) =219435873a(23) =505824167a(24) =1202595689a(25) =2825927772a(26) =6530389759a(27) =15704159500a(28) =37297212976