a(n+1) is smallest number with a(n+1)^n > a(n)^(n+1).

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =13a(6) =20a(7) =31a(8) =48a(9) =74a(10) =114a(11) =176a(12) =271a(13) =417a(14) =642a(15) =988a(16) =1521a(17) =2341a(18) =3603a(19) =5545a(20) =8533a(21) =13131a(22) =20207a(23) =31096a(24) =47853a(25) =73639a(26) =113320a(27) =174383a(28) =268350a(29) =412951