Jeez!

These are all powers of 3 less than 3^11:

1 3 9 27 81 243 729 2187 6561 19683 59049

[download]

These are all sums of multiple powers of three less than 3^11 that also consist of 0s & 1s when encoded in base-3:

<Reveal this spoiler or all in this thread>

It is a quicker to permute the combinations of the 11 powers of the to look for solutions that are sum of distinct powers of 3,

than it is to permute the combinations 1847 compliant numbers that are (a subset of the) sums of multiple powers of 3.

And the numbers & differences get much larger for 4, 5, 6 ...

So, please refrain from telling me what I got right and wrong, when you appear to not understand the subject.

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Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
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In reply to Re^5: Can It Be Written In Base X With Only 1s And 0s by BrowserUk
in thread Can It Be Written In Base X With Only 1s And 0s by Limbic~Region

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