Strictly increasing list of F and F + 1, where F = A000045, the Fibonacci numbers.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =8a(7) =9a(8) =13a(9) =14a(10) =21a(11) =22a(12) =34a(13) =35a(14) =55a(15) =56a(16) =89a(17) =90a(18) =144a(19) =145a(20) =233a(21) =234a(22) =377a(23) =378a(24) =610a(25) =611a(26) =987a(27) =988a(28) =1597a(29) =1598