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

Author

Carmine Suriano, May 07 2010

Keywords

• nonn
• base

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

Examples

			a(8)=34 since it is the 8th Fibonacci having no 8's
		

Crossrefs

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

Programs

Mathematica

Select[Fibonacci[Range[100]],DigitCount[#,10,8]==0&] (* Harvey P. Dale, Dec 31 2013 *)