The sequence 2, floor(a), floor(a^2), floor(a^3), ..., with a = 1+sqrt(5).

Terms

a(0) =2a(1) =3a(2) =10a(3) =33a(4) =109a(5) =354a(6) =1148a(7) =3716a(8) =12026a(9) =38918a(10) =125943a(11) =407562a(12) =1318899a(13) =4268047a(14) =13811692a(15) =44695576a(16) =144637922a(17) =468058148a(18) =1514667986a(19) =4901568568a(20) =15861809082a(21) =51329892437a(22) =166107021206a(23) =537533612162