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A177374
Fibonacci numbers whose decimal expansion does not contain any digit 8.
1
1, 1, 2, 3, 5, 13, 21, 34, 55, 144, 233, 377, 610, 1597, 6765, 10946, 17711, 75025, 121393, 514229, 1346269, 9227465, 14930352, 102334155, 267914296, 433494437, 1134903170, 2971215073, 20365011074, 53316291173, 365435296162
OFFSET
1,3
COMMENTS
Probability that Fib(n) contains no 8's goes to zero as n grows to infinity. I suppose that the maximum number is Fib(142) having 30 digits.
The above conjecture is true up through Fib(100,000) which has 20,800 digits. - Harvey P. Dale, Dec 31 2013
EXAMPLE
a(8)=34 since it is the 8th Fibonacci having no 8's
MATHEMATICA
Select[Fibonacci[Range[100]], DigitCount[#, 10, 8]==0&] (* Harvey P. Dale, Dec 31 2013 *)
KEYWORD
nonn,base
AUTHOR
Carmine Suriano, May 07 2010
STATUS
approved