User:Karsten Meyer/Lucas Sequences

Fibonacci Sequences

		(0,0)	0, 0, 0, 0, 0, 0, 0, 0,
$F_{n}\,$	$F_{n}\,$	(0,1)	0, 1, 1, 2, 3, 5, 8, 13, 21, 34,
$L_{n}\,$	$F_{n-1}+F_{n+1}\,$	(2,1)	2, 1, 3, 4, 7, 11, 18, 29,
	$F_{n-1}+2*F_{n+1}\,$	(,)	3, 1, 4, 5, 9, 14, 23, 37, 60, 97, 157,
		(,)	4, 1, 5, 6, 11, 17, 28,
		(,)	3, 2, 5, 7, 12, 19, 31,
		(,)	5, 2, 7, 9, 16, 25, 41, 66,
		(,)	119, 25, 144, 169, 313,

	0	1	2	3	4
0	(0,0)	(0,1)	-	-	-
1	(0,1)	(1,1)	(1,2)	(1,3)	(1,4)
2	-	(2,1)	-	(2,3)	-
3	-	(3,1)	(3,2)	-	(3,4)
4	-	(4,1)	-	(4,3)	-

Pell Sequences

		(0,0)	0, 0, 0, 0, 0, 0, 0, 0,
		(0,1)
		(2,1)
		(,)
		(,)
		(,)
		(,)
		(,)

$n\,$ teilt $V(P,Q)_{n}-P\,$

n	V(1,-1)	V(1,-2)	V(5,4)
2	3	5	17
3	4	7	65
5	11	31	1025
7	29	127	16385
11	199
13
15