

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
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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


LINKS



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 *)


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



