

A195378


Numbers n such that nth Fibonacci number has all digits 0 to 9.


0



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
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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 *)


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 A295805 A295157
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



