a(n) = Lucas(4*n+1).

Terms

a(0) =1a(1) =11a(2) =76a(3) =521a(4) =3571a(5) =24476a(6) =167761a(7) =1149851a(8) =7881196a(9) =54018521a(10) =370248451a(11) =2537720636a(12) =17393796001a(13) =119218851371a(14) =817138163596