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Fibonacci numbers whose decimal expansion does not contain any digit 7
2

%I #4 Dec 13 2014 13:55:11

%S 1,1,2,3,5,8,13,21,34,55,89,144,233,610,2584,4181,10946,46368,121393,

%T 196418,514229,832040,1346269,14930352,39088169,63245986,102334155,

%U 165580141,1836311903,12586269025,32951280099,139583862445,365435296162

%N Fibonacci numbers whose decimal expansion does not contain any digit 7

%C Probability that Fib(n) contains no digit 7 goes to zero as n grows to infinity. I suppose that the maximum number is Fib(224) having 47 digits.

%e a(14)=610 since it is the 14th Fibonacci containing no 7's.

%t Select[Fibonacci[Range[100]],DigitCount[#,10,7]==0&] (* _Harvey P. Dale_, Dec 13 2014 *)

%Y Cf. A000045, A177194, A177195, A177231, A177245, A177246, A176253, A177247

%K nonn,base

%O 1,3

%A _Carmine Suriano_, May 07 2010