A159259 Positive numbers n such that 8*n^2-2*n-1 divides Fibonacci(n).

27, 37, 97, 577, 687, 727, 777, 807, 1297, 1707, 1917, 2067, 2487, 2787, 2977, 3027, 3037, 3067, 3277, 3367, 3417, 3507, 3837, 4047, 4257, 4377, 4447, 4567, 4717, 5137, 5557, 5637, 5677, 5917, 5967, 6057, 6187, 6327, 7077, 7087, 7357, 7407, 7507, 7597

Offset

1,1

Comments

The prime numbers of this sequence are in A159231.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000

Chris Caldwell, The Prime Glossary, Fibonacci number

Mathematica

Select[Range[7597], Mod[Fibonacci[#], 8*#^2 - 2*# - 1] == 0 &] (* Arkadiusz Wesolowski, Dec 12 2011 *)

Prog

(Magma) [n : n in [1..7597] | IsZero(Fibonacci(n) mod (8*n^2-2*n-1))] // Arkadiusz Wesolowski, Nov 09 2013
(PARI) for(n=1, 7597, if(Mod(fibonacci(n), 8*n^2-2*n-1)==0, print1(n, ", "))); \\ Arkadiusz Wesolowski, Nov 09 2013

Crossrefs

Cf. A000045, A023172, A159234, A159231, A181890.

Sequence in context: A180961 A278643 A069105 * A365960 A097228 A039614

Adjacent sequences: A159256 A159257 A159258 * A159260 A159261 A159262

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 07 2009

Status

approved