A177374 Fibonacci numbers whose decimal expansion does not contain any digit 8.

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

Links

Table of n, a(n) for n=1..31.

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

Cf. A000045, A177194, A177195, A177231, A177245, A177246, A176253, A177247, A177372

Sequence in context: A224223 A238497 A061305 * A142881 A163159 A048736

Adjacent sequences: A177371 A177372 A177373 * A177375 A177376 A177377

Keyword

nonn,base

Author

Carmine Suriano, May 07 2010

Status

approved