q-Lucas numbers with q=2.

Terms

a(0) =2a(1) =1a(2) =3a(3) =5a(4) =17a(5) =57a(6) =329a(7) =2153a(8) =23209a(9) =298793a(10) =6240297a(11) =159222313a(12) =6549286441a(13) =332636583465