A195378 Numbers n such that n-th Fibonacci number has all digits 0 to 9.

61, 63, 74, 92, 98, 100, 105, 107, 109, 113, 118, 119, 120, 121, 122, 126, 127, 128, 130, 131, 132, 134, 136, 138, 139, 140, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 165, 167, 168, 169, 170, 171, 172, 173, 175, 176

Offset

1,1

Comments

Brian Trial conjectures that all Fibonacci numbers greater than F285 are pandigital, see the Gupta link.

It is easy to show that these numbers have positive lower density. [Charles R Greathouse IV, Sep 18 2011]

Links

Table of n, a(n) for n=1..53.

Shyam Sunder Gupta, Can you find (CYF)

Formula

Conjecture: a(n) = n + 131 for n > 154.

Mathematica

Select[Range[1000], Union[IntegerDigits[Fibonacci[#]]] == Range[0, 9] &] (* T. D. Noe, Sep 20 2011 *)
Select[Range[200], Min[DigitCount[Fibonacci[#]]]>0&] (* Harvey P. Dale, Dec 28 2021 *)

Prog

(PARI) is(n)=#vecsort(Vec(Str(fibonacci(n))), , 8)==10 \\ Charles R Greathouse IV, Sep 18 2011

Crossrefs

Sequence in context: A042859 A258157 A114085 * A260561 A346808 A345485

Adjacent sequences: A195375 A195376 A195377 * A195379 A195380 A195381

Keyword

nonn,base

Author

Kausthub Gudipati, Sep 17 2011

Extensions

Corrected by T. D. Noe, Sep 20 2011

Status

approved