Number of (n+1) X 8 0..1 matrices with each 2 X 2 subblock idempotent.

Terms

a(0) =216a(1) =345a(2) =472a(3) =682a(4) =943a(5) =1323a(6) =1858a(7) =2652a(8) =3845a(9) =5681a(10) =8544a(11) =13062a(12) =20247a(13) =31739a(14) =50190a(15) =79892a(16) =127789a(17) =205117a(18) =330056a(19) =532022a(20) =858611a(21) =1386835a(22) =2241302a(23) =3623632a(24) =5860053a(25) =9478413a(26) =15332788a(27) =24805102a(28) =40131355a(29) =64929471