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

[zak seidov]

OOOOOOOOOOOOOPS,

my silly code missed 
sums with TWO identical summands, 
sorry for that.
Still,
is the sequence finite?

Thanks, and sorry again,
zak
 
--- 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.
> 
> the correct terms, below 106, seems to be:
> 1, 2, 4, 5, 7, 8, 15, 23, 31, 87, 111, 119, 167,
> 335, 1391, 1455,
> 1607, 1679, 1991, 25887, 26375
> 
> I suspect that the sequence is indeed finite.
> 
> giovanni resta
> 
> 
> 



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