2,6,9,13,17,20,24,27,31,35,38,42,46,49,53,56,.......

[Antreas P. Hatzipolakis]

>ID Number: A003263 (Formerly M0045)
>Sequence:  1,0,1,2,1,0,2,2,0,1,3,2, 0,2,3,1, 0,3,3, 0,2,4,2, 0,3,3, 0,1,4,3,
              2       6     9       13       17     20       24     27

>           0,3,5,2, 0,4,4, 0,2,5,3, 0,3,4,1, 0,4,4, 0,3,6,3, 0,5,5, 0,2,6,4,
           31       35     38       42       46     49       53     56

>           0,4,6,2, 0,5,5, 0,3,6,3, 0
           60       64     67       71
>Name:      Representations of n as a sum of Lucas numbers.
                                      ^^^^^^^^^^^^^^^^^^^^
                                      sum of distinct Lucas numbers

(since 2 = 1 + 1 (= L_1 + L_1), 6 = 3 + 3 (= L_2 + L_2): sums of non-distinct
Lucas numbers, therefore the number of repr/ons of 2 and 6 should be 1,
not 0, as in the table)


 From the sequence A003263 we obtain this (new?) one:

2,6,9,13,17,20,24,27,31,35,38,42,46,49,53,56,.......

Numbers non-represented as a sum of distinct Lucas numbers.

PS: Beware of errors, since I wrote directly on screen.


Antreas