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%I #5 Aug 26 2023 19:11:43
%S 1,1,2,3,5,8,13,21,34,55,89,144,233,377,987,1597,2584,4181,17711,
%T 75025,121393,317811,514229,832040,2178309,3524578,5702887,14930352,
%U 24157817,102334155,433494437,701408733,1134903170,2971215073,7778742049
%N Fibonacci numbers Fib(n) whose decimal expansion does not contain any digit 6.
%C Probability that Fib(n) contains no 6's goes to zero as n grows to infinity. I suppose the maximum number is F(258) having 54 digits with no 6's.
%e a(7)=13 since it is the 7th Fibonacci having no 6's
%t Select[Fibonacci[Range[100]],DigitCount[#,10,6]==0&] (* _Harvey P. Dale_, Aug 26 2023 *)
%Y Cf. A000045, A177194, A177195, A177231, A177245, A177246, A176253
%K nonn,base
%O 1,3
%A _Carmine Suriano_, May 06 2010