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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 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A276464 A001005 A009735 * A283511 A137095 A092097
KEYWORD
nonn,base
AUTHOR
Carmine Suriano, May 06 2010
EXTENSIONS
a(1) changed from 1 to 0 by Vincenzo Librandi, May 09 2019
STATUS
approved

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Last modified March 2 10:37 EST 2024. Contains 370464 sequences. (Running on oeis4.)