a(n) = floor(a(n-1)/(sqrt(5) - 2)) for n > 0 and a(0) = 1.

Terms

a(0) =1a(1) =4a(2) =16a(3) =67a(4) =283a(5) =1198a(6) =5074a(7) =21493a(8) =91045a(9) =385672a(10) =1633732a(11) =6920599a(12) =29316127a(13) =124185106a(14) =526056550a(15) =2228411305a(16) =9439701769a(17) =39987218380a(18) =169388575288a(19) =717541519531