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A177195
Fibonacci numbers whose decimal expansion does not contain the digit 1.
8
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.
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
KEYWORD
nonn,base
AUTHOR
Carmine Suriano, May 04 2010
EXTENSIONS
a(1)=0 added by Alois P. Heinz, May 04 2019
STATUS
approved