A177231 Fibonacci numbers whose decimal expansion does not contain any digit "2".

0, 1, 3, 5, 8, 13, 34, 55, 89, 144, 377, 610, 987, 1597, 4181, 6765, 10946, 17711, 46368, 196418, 317811, 39088169, 165580141, 433494437, 701408733, 1134903170, 1836311903, 17167680177565, 117669030460994, 806515533049393, 99194853094755497, 160500643816367088

Offset

1,3

Comments

The probability that Fibonacci(n) contains no 2's goes to zero as n grows to infinity. The maximum term is possibly Fibonacci(101) having 21 digits, none of them being "2".

Links

Table of n, a(n) for n=1..32.

Example

a(5) = 8 is the 5th Fibonacci number having no digit 2's.

Maple

F:= combinat[fibonacci]:
q:= n-> not(2 in convert(n, base, 10)):
select(q, {F(n)$n=0..101})[];  # Alois P. Heinz, May 06 2019

Mathematica

Join[{0}, Select[Fibonacci[Range[2, 50]], DigitCount[#, 10, 2]==0&]] (* Harvey P. Dale, Oct 01 2017 *)

Prog

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

Crossrefs

Cf. A000045, A177194, A177195, A176253.

Sequence in context: A289916 A014252 A296378 * A259597 A095223 A268515

Adjacent sequences: A177228 A177229 A177230 * A177232 A177233 A177234

Keyword

nonn,base

Author

Carmine Suriano, May 05 2010

Extensions

Edited by Charles R Greathouse IV, Aug 03 2010

a(1) changed from 1 to 0 by Alois P. Heinz, May 06 2019

Status

approved