Number of (n+1) X 5 0..2 matrices with each 2 X 2 subblock idempotent.

Terms

a(0) =70a(1) =123a(2) =170a(3) =260a(4) =381a(5) =573a(6) =864a(7) =1322a(8) =2043a(9) =3191a(10) =5026a(11) =7972a(12) =12713a(13) =20357a(14) =32696a(15) =52630a(16) =84851a(17) =136951a(18) =221214a(19) =357516a(20) =578017a(21) =934753a(22) =1511920a(23) =2445750a(24) =3956671a(25) =6401343a(26) =10356854a(27) =16756952a(28) =27112473a(29) =43868001