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

1,3

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".

Links

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

Example

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

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 *)

Crossrefs

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

Sequence in context: A337078 A024322 A014260 * A067517 A042339 A137574

Adjacent sequences: A177243 A177244 A177245 * A177247 A177248 A177249

Keyword

nonn,base

Author

Carmine Suriano, May 06 2010

Status

approved