A177376 Fibonacci numbers whose decimal expansion does not contain any digit 9.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 144, 233, 377, 610, 2584, 4181, 6765, 17711, 28657, 46368, 75025, 317811, 832040, 3524578, 5702887, 24157817, 102334155, 165580141, 701408733, 20365011074, 86267571272, 225851433717, 17167680177565

Offset

1,3

Comments

The probability that Fib(n) contains no 9's goes to zero as n grows to infinity. It appears that the largest term is F(188). [Corrected by Jon E. Schoenfield, May 08 2010]

Links

Table of n, a(n) for n=1..33.

Example

a(11)=144 since it is the 11th Fibonacci containing no 9's

Mathematica

Select[Fibonacci[Range[100]], DigitCount[#, 10, 9]==0&] (* Harvey P. Dale, Jan 22 2014 *)

Crossrefs

Cf. A000045, A177194, A177195, A177231, A177245, A177246, A176253, A177247, A177272, A177372, A177374

Sequence in context: A077372 A147659 A005181 * A120659 A042581 A349843

Adjacent sequences: A177373 A177374 A177375 * A177377 A177378 A177379

Keyword

nonn,base

Author

Carmine Suriano, May 07 2010

Status

approved