A177247 Fibonacci numbers Fib(n) whose decimal expansion does not contain any digit 6.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 987, 1597, 2584, 4181, 17711, 75025, 121393, 317811, 514229, 832040, 2178309, 3524578, 5702887, 14930352, 24157817, 102334155, 433494437, 701408733, 1134903170, 2971215073, 7778742049

Offset

1,3

Comments

Probability that Fib(n) contains no 6's goes to zero as n grows to infinity. I suppose the maximum number is F(258) having 54 digits with no 6's.

Links

Table of n, a(n) for n=1..35.

Example

a(7)=13 since it is the 7th Fibonacci having no 6's

Mathematica

Select[Fibonacci[Range[100]], DigitCount[#, 10, 6]==0&] (* Harvey P. Dale, Aug 26 2023 *)

Crossrefs

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

Sequence in context: A132916 A274163 A177194 * A069041 A177372 A109609

Adjacent sequences: A177244 A177245 A177246 * A177248 A177249 A177250

Keyword

nonn,base

Author

Carmine Suriano, May 06 2010

Status

approved