

A066981


Number of residues of Lucas numbers modulo n.


0



1, 2, 3, 4, 4, 6, 7, 6, 9, 8, 7, 10, 12, 14, 7, 11, 16, 11, 12, 10, 13, 14, 19, 14, 12, 24, 27, 20, 10, 14, 19, 22, 17, 20, 13, 15, 28, 13, 24, 10, 19, 26, 33, 20, 17, 21, 15, 17, 37, 24, 31, 36, 44, 29, 16, 28, 29, 20, 37, 18, 28, 21, 33, 42, 16, 34, 51, 26, 33, 26, 44, 17, 56
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


LINKS

Table of n, a(n) for n=1..73.


EXAMPLE

a(15)=7, since Lucas numbers reduced modulo 15 are {1, 2, 3, 4, 7, 11, 14}.


MATHEMATICA

Table[Length[Union[Mod[LucasL[Range[500]], n]]], {n, 75}] (* Harvey P. Dale, Dec 17 2014 *)


CROSSREFS

Cf. A000032, A066853.
Sequence in context: A205787 A072455 A177862 * A130043 A089266 A178993
Adjacent sequences: A066978 A066979 A066980 * A066982 A066983 A066984


KEYWORD

nonn


AUTHOR

Reiner Martin (reinermartin(AT)hotmail.com), Jan 26 2002


STATUS

approved



