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

Author

Carmine Suriano, May 06 2010

Keywords

• nonn
• base

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".

Examples

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

Crossrefs

Cf. A000045, A177194, A177195, A177231, A176253

Programs

Magma

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

Mathematica

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

Extensions

a(1) changed from 1 to 0 by Vincenzo Librandi, May 09 2019