a(n) = F(n+1)*F(2n+2) + F(n)*F(2n).

Terms

a(0) =1a(1) =4a(2) =19a(3) =79a(4) =338a(5) =1427a(6) =6053a(7) =25628a(8) =108583a(9) =459931a(10) =1948354a(11) =8253271a(12) =34961561a(13) =148099316a(14) =627359147a(15) =2657535383a(16) =11257501522a(17) =47687540107a(18) =202007664157a(19) =855718193164