a(n) = round(r^n) where r is the smallest Pisot number (real root r=1.3247179.. of x^3-x-1).

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =3a(5) =4a(6) =5a(7) =7a(8) =9a(9) =13a(10) =17a(11) =22a(12) =29a(13) =39a(14) =51a(15) =68a(16) =90a(17) =119a(18) =158a(19) =209a(20) =277a(21) =367a(22) =486a(23) =644a(24) =853a(25) =1130a(26) =1497a(27) =1983a(28) =2627a(29) =3480