Not sum of three perfect powers: is the sequence infinite: sorry for misprinrs

[Max Alekseyev]

On Sat, Feb 23, 2008 at 1:10 PM, Giovanni Resta <g.resta at iit.cnr.it> wrote:
> zak seidov wrote:
>
>   >> Dear seqfans,
>   >> 1) is this sequence infinite?
>   >> 2) more terms?
>   >> 3) thanks, zak
>   >
>   >
>   >1,2,4,5,6,7,8,9,10,11,15,16,17,19,20,22,23,31,43,55,87,102,103,111,119,167,223,335,1391,1455,1607,1679,1775,1991,25887,26375
>
>  I believe that the sequence above (which should be a superset of A113505)
>  contains some spurious values, i.e.,
>  6, 9, 10, 11, 16, 17, 19, 20, 22, 43, 55, 102, 103, 223, 1775
>  since, for example, 6=4+1+1, 9=4+4+1, 10=8+1+1, 11=9+1+1, etc.etc.

But 1 is not a perfect power. See
http://www.research.att.com/~njas/sequences/A072103

Regards,
Max