a(1) = 2; for n>1, a(n) = largest integer such that the sequence b(n) = a(n)^(1/n) is decreasing.

Terms

a(0) =2a(1) =3a(2) =5a(3) =8a(4) =13a(5) =21a(6) =34a(7) =56a(8) =92a(9) =152a(10) =251a(11) =414a(12) =684a(13) =1130a(14) =1867a(15) =3084a(16) =5095a(17) =8418a(18) =13908a(19) =22979a(20) =37966a(21) =62727a(22) =103638a(23) =171232a(24) =282911a(25) =467429a(26) =772292a(27) =1275990a(28) =2108206a(29) =3483204