A177245 Fibonacci numbers whose decimal expansion does not contain any digit 3.

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

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

Table of n, a(n) for n=1..33.

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

Cf. A000045, A177194, A177195, A177231, A176253

Sequence in context: A276464 A001005 A009735 * A283511 A137095 A092097

Adjacent sequences: A177242 A177243 A177244 * A177246 A177247 A177248

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