Longest Lucas seq. from start to "n"

[Max Alekseyev]

Eric,
Your problem formulation is unclear.
Do you wand a sequence of Lucas numbers or (generic) Lucas sequence?These are different beasts:http://mathworld.wolfram.com/LucasNumber.htmlhttp://mathworld.wolfram.com/LucasSequence.html
Do you want all elements of your sequence be positive (ornon-negative) integers?
Max
On 10/18/07, Eric Angelini <Eric.Angelini at kntv.be> wrote:>> Hello SeqFans,> I guess this is (very) old hat -- sorry.>> I want to insert "17" (for instance) as later as> possible in a Lucas seq. I found by hand that the> seq 4 1 5 6 11 [17] 28...  is the answer (5 terms> before "17"; the seq 7 1 8 9 [17] 26... has 4)>> What is the general method to find those? There> must be a seq in the OEIS linking n to the length> of its "latest entry" in a Lucas sequence -- but> I cannot find it.>> What would be the longest such chain including 2007?>> Best,> É.>>