A054770

[Jud McCranie]

At 05:54 PM 6/6/00 +0300, Antreas P. Hatzipolakis wrote:
Conjecture by dww (= David W. Wilson):
>a_n = [((5+sqrt(5))/2)n]-1
>(= [(phi + 2)*n] - 1, where phi is the golden ratio (1+sqrt(5))/2)
>
>Proof or disproof ?

These are my preliminary, quick and dirty results.  There may be an error, 
for instance if phi isn't calculated accurately enough.  But I get 439203 
(Lucas[27]-1) as not the sum of distinct Lucas numbers, it is the 121394th 
such term, but the conjecture of n gives 439206.

Again, these are preliminary results, so I'm not sure of them.


+--------------------------------------------------------+
|                  Jud McCranie                          |
|                                                        |
| 137*2^261147+1 is prime!  (78,616 digits, 5/2/00)      |
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