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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

3 votes

Ulam spiral coordinate system

A while ago, Dan Pearcy approached me with a similar problem, asking for the inverse formula to convert $n$ into coordinates $(x,y)$. Using the floor function, it was not too difficult to provide an e …
Adam P. Goucher's user avatar
26 votes

Puzzle on deleting k bits from binary vectors of length 3k

I can, at least, answer your question 'Is this in fact the correct answer?' with an affirmative 'no'. Specifically, we can replace the upper bound $2^{n/3} \approxeq 1.26^n$ with the slightly better …
Adam P. Goucher's user avatar