A177246 Fibonacci numbers whose decimal expansion does not contain any digit 4.

1, 1, 2, 3, 5, 8, 13, 21, 55, 89, 233, 377, 610, 987, 1597, 6765, 17711, 28657, 75025, 121393, 317811, 2178309, 5702887, 39088169, 1836311903, 2971215073, 12586269025, 32951280099, 53316291173, 86267571272, 591286729879

Offset: 1

Author

Carmine Suriano, May 06 2010

Keywords

• nonn
• base

Comments

Probability that Fib(n) contains no 4's goes to zero as n grows to infinity. I suppose that the maximum number is Fib(114) having 24 digits, none of them being a "4".

Examples

			a(9)=55 is the 9th Fibonacci having no digit 4's.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..41 (conjectured to be complete)

Crossrefs

Cf. A000045, A177194, A177195, A177231, A177245, A176253.

Programs

Maple

remove(t -> has(convert(t,base,10),4), map(combinat:-fibonacci, [$1..1000])); # Robert Israel, Dec 13 2018

Mathematica

Select[Fibonacci@Range@114, !MemberQ[IntegerDigits[#], 4] &] (* Amiram Eldar, Dec 13 2018 *)