

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
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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



