Number of (n+1) X 7 0..1 matrices with each 2 X 2 subblock idempotent.

Terms

a(0) =132a(1) =218a(2) =302a(3) =448a(4) =635a(5) =916a(6) =1323a(7) =1941a(8) =2887a(9) =4363a(10) =6688a(11) =10383a(12) =16288a(13) =25764a(14) =41012a(15) =65594a(16) =105273a(17) =169374a(18) =272985a(19) =440519a(20) =711477a(21) =1149773a(22) =1858822a(23) =3005953a(24) =4861910a(25) =7864766a(26) =12723338a(27) =20584516a(28) =33304007a(29) =53884408