Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 4500 articles have referenced us, often saying "we would not have discovered this result without the OEIS".
Probability that Fib(n) contains no 3's decreases to zero as n goes to infinity. I suppose that the maximum number is Fib(223) having 47 digits, none of them being a "3".
Table of n, a(n) for n=1..31.
a(6)=21 since 21 is the 6th Fibonacci having no 3's
Cf. A000045, A177194, A177195, A177231, A176253
Sequence in context: A121568 A001005 A009735 * A137095 A092097 A195295
Adjacent sequences: A177242 A177243 A177244 * A177246 A177247 A177248
Carmine Suriano, May 06 2010