[seqfan] Re: A115159 looks incorrect

Alonso Del Arte alonso.delarte at gmail.com
Wed Aug 17 07:10:33 CEST 2011


What if instead of nonnegative we say "positive" across the board, to rule
out 0^2 and perhaps rescue 63 and 99?

However, Giovanni's remark "There are 718 such numbers up to 2*10^9" makes
me think there is some other requirement he neglected to communicate.

Al

On Tue, Aug 16, 2011 at 11:22 PM, David Wilson <davidwwilson at comcast.net>wrote:

> A115159 purports to be numbers which are not the sum of a nonnegative
> triangle, square and cube.
>
> However, every listed element is indeed such a sum, starting with:
>
> 34 = 10+16+8
> 63 = 55+0+8
> 89 = 45+36+8
> 99 = 91+0+8
> 139 = 10+121+8
> ...
>
> and I could supply the rest on request.  In fact, I could find no
> nonnegative integers <= 50000 that are in
> the sequence, and I would venture that every nonnegative integer is a such
> a sum.
>
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