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A177247
Fibonacci numbers Fib(n) whose decimal expansion does not contain any digit 6.
3
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 987, 1597, 2584, 4181, 17711, 75025, 121393, 317811, 514229, 832040, 2178309, 3524578, 5702887, 14930352, 24157817, 102334155, 433494437, 701408733, 1134903170, 2971215073, 7778742049
OFFSET
1,3
COMMENTS
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.
EXAMPLE
a(7)=13 since it is the 7th Fibonacci having no 6's
MATHEMATICA
Select[Fibonacci[Range[100]], DigitCount[#, 10, 6]==0&] (* Harvey P. Dale, Aug 26 2023 *)
KEYWORD
nonn,base
AUTHOR
Carmine Suriano, May 06 2010
STATUS
approved