Solve, Fibonacci and Lucas Numbers ?

[lvl107]

Hello Everyone.

   The question is : Solve, 5 of Fibonacci numbers  =  5 of Lucas numbers ?

         Thanks in advance for your time and help.

              Regards.

[LucMeekes]

Not found within a reasonable range of numbers:

Success!
Luc

[LucMeekes]

Ah, the second sequence gives skewed Fibonacci numbers:

[LucMeekes]

Now we can play other games:

Luc

[lvl107]

I'm sorry. I think my question, the above, is not clear. And my question would be :

   How many solutions ?

       Best Regards.

[LucMeekes]

With DISTINCT you mean that i[0 and i[1 must be different, etc?

Luc

[lvl107]

Yes, it is. And i[1 - i[0  > 1  (not consecutive)

   Loi

[LucMeekes]

Ah, that's another restriction!

What's the reason for banning i[1 = i[0 + 1 ?

[LucMeekes · Accepted solution]

I'll dare the conclusion that therea are infinite solutions:

But I'll not calculate them.

Success!

Luc

[lvl107]

  I greatly appreciate your time and help, Luc. And I base on your hint, I have got the following with "by hand" :

         Best Regards.

              Loi

[VladimirN]

Loi Le wrote:

  ... I have got the following with "by hand"...    

Art?