A177195 Fibonacci numbers whose decimal expansion does not contain the digit 1.

0, 2, 3, 5, 8, 34, 55, 89, 233, 377, 987, 2584, 6765, 28657, 46368, 75025, 832040, 3524578, 5702887, 9227465, 63245986, 433494437, 4807526976, 7778742049, 27777890035288, 5527939700884757, 2427893228399975082453, 22698374052006863956975682

Offset

1,2

Comments

The probability that Fibonacci(n) contains no digit 1 decreases to 0 as n goes to infinity. Seems that its maximum value is Fibonacci(211) having 44 digits, none of them is 1.

Links

Table of n, a(n) for n=1..28.

Example

34 is a term since 34 is a Fibonacci number having no 1's. [corrected by D. S. McNeil, Nov 12 2010]

Mathematica

Select[Fibonacci[Range[0, 150]], DigitCount[#, 10, 1]==0&] (* Harvey P. Dale, Apr 18 2019 *)

Prog

(Magma) [Fibonacci(n): n in [0..150] |  not 1 in Intseq(Fibonacci(n))]; // Vincenzo Librandi, May 09 2019

Crossrefs

Cf. A000045, A177194, A176253.

Sequence in context: A014258 A237575 A275524 * A178355 A281618 A059359

Adjacent sequences: A177192 A177193 A177194 * A177196 A177197 A177198

Keyword

nonn,base

Author

Carmine Suriano, May 04 2010

Extensions

a(1)=0 added by Alois P. Heinz, May 04 2019

Status

approved