login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245456 Index of least Fibonacci number congruent to n mod 100. 0
0, 1, 3, 4, 192, 5, 81, 76, 6, 32, 15, 22, 216, 7, 111, 130, 168, 37, 27, 112, 60, 8, 117, 64, 198, 25, 99, 136, 204, 29, 105, 88, 174, 13, 9, 70, 222, 43, 93, 172, 30, 41, 63, 124, 12, 55, 21, 154, 186, 49, 75, 148, 36, 67, 129, 10, 162, 23, 87, 118, 180, 61, 57, 166, 72, 20, 141, 94, 24, 31, 45, 142, 54, 47, 51, 100, 48, 14, 33, 58, 210, 19, 123, 106, 18, 80, 39, 16, 66, 11, 135, 82, 156, 26, 69, 160, 42, 17, 147, 52 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The analogous sequence mod 1000 does not exist, because no Fibonacci number is congruent to, e.g., 4 mod 1000.

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

a(4) = 192 because F(192) = 5972304273877744135569338397692020533504 is 4 mod 100.

MATHEMATICA

Join[{0}, With[{fibs=Fibonacci[Range[230]]}, Flatten[Table[Position[fibs, _?(Mod[#, 100]==n&), {1}, 1], {n, 100}]]]] (* Harvey P. Dale, Mar 31 2015 *)

PROG

(PARI) a(n)=for(k=0, 222, if(fibonacci(k)%100==n, return(k)))

CROSSREFS

Cf. A023183.

Sequence in context: A082213 A097172 A042081 * A042275 A012861 A042485

Adjacent sequences:  A245453 A245454 A245455 * A245457 A245458 A245459

KEYWORD

nonn,fini,full

AUTHOR

Charles R Greathouse IV, Jul 22 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 25 20:38 EDT 2019. Contains 321477 sequences. (Running on oeis4.)