

A177245


Fibonacci numbers whose decimal expansion does not contain any digit 3.


5



0, 1, 2, 5, 8, 21, 55, 89, 144, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 75025, 196418, 514229, 5702887, 9227465, 24157817, 165580141, 267914296, 4807526976, 7778742049, 12586269025, 86267571272, 591286729879, 956722026041, 1548008755920
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OFFSET

1,3


COMMENTS

Probability that Fib(n) contains no 3's decreases to zero as n goes to infinity. I suppose that the maximum number is Fib(223) having 47 digits, none of them being a "3".


LINKS



EXAMPLE

a(6)=21 since 21 is the 6th Fibonacci having no 3's.


MATHEMATICA

Join[{0}, Select[Fibonacci[Range[2, 60]], DigitCount[#, 10, 3]==0&]] (* Vincenzo Librandi, May 09 2019 *)


PROG

(Magma) [0] cat [Fibonacci(n): n in [2..150]  not 3 in Intseq(Fibonacci(n))]; // Vincenzo Librandi, May 09 2019


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



