A177372 Fibonacci numbers whose decimal expansion does not contain any digit 7

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 610, 2584, 4181, 10946, 46368, 121393, 196418, 514229, 832040, 1346269, 14930352, 39088169, 63245986, 102334155, 165580141, 1836311903, 12586269025, 32951280099, 139583862445, 365435296162

Offset

1,3

Comments

Probability that Fib(n) contains no digit 7 goes to zero as n grows to infinity. I suppose that the maximum number is Fib(224) having 47 digits.

Links

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

Example

a(14)=610 since it is the 14th Fibonacci containing no 7's.

Mathematica

Select[Fibonacci[Range[100]], DigitCount[#, 10, 7]==0&] (* Harvey P. Dale, Dec 13 2014 *)

Crossrefs

Cf. A000045, A177194, A177195, A177231, A177245, A177246, A176253, A177247

Sequence in context: A177194 A177247 A069041 * A109609 A274162 A073958

Adjacent sequences: A177369 A177370 A177371 * A177373 A177374 A177375

Keyword

nonn,base

Author

Carmine Suriano, May 07 2010

Status

approved