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A177247
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Fibonacci numbers Fib(n) whose decimal expansion does not contain any digit 6.
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3
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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
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OFFSET
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1,3
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COMMENTS
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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.
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LINKS
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EXAMPLE
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a(7)=13 since it is the 7th Fibonacci having no 6's
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MATHEMATICA
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Select[Fibonacci[Range[100]], DigitCount[#, 10, 6]==0&] (* Harvey P. Dale, Aug 26 2023 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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