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

Author

Carmine Suriano, May 04 2010

Keywords

• nonn
• base

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.

Examples

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

Crossrefs

Cf. A000045, A177194, A176253.

Programs

Magma

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

Mathematica

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

Extensions

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