a(n) = floor(x^n) where x^x = e.

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =9a(5) =17a(6) =30a(7) =52a(8) =93a(9) =164a(10) =290a(11) =512a(12) =902a(13) =1592a(14) =2807a(15) =4950a(16) =8728a(17) =15389a(18) =27134a(19) =47845a(20) =84361a(21) =148748a(22) =262275a(23) =462450a(24) =815403a(25) =1437738a(26) =2535054a(27) =4469865a(28) =7881368a(29) =13896609