Index of Fibonacci numbers not containing the number 2.
0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 27, 28, 38, 41, 43, 44, 45, 46, 65, 69, 73, 83, 84, 88, 89, 91, 95, 101
1
This sequence is probably complete.
T. D. Noe, Plot of 38 terms
(Mma) t = {}; Do[d = IntegerDigits[Fibonacci[n]]; If[! MemberQ[d, 2], AppendTo[t, n]], {n, 0, 1000}]; t
Cf. A076564, A176253, S000217-S000224.
nonn,base
T. D. Noe, Aug 27 2014