Erdős problem 769 · problems.science

For the least cutoff $c(n)$ after which every $k$ occurs as the number of homothetic cubes in a decomposition of the unit $n$ -cube, is $c(n) \gg n^n$ ? The Lean proof shows $c(n) = o(n^n)$ along odd dimensions.

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For the least cutoff $c(n)$ after which every $k$ occurs as the number of homothetic cubes in a decomposition of the unit $n$-cube, is $c(n) \gg n^n$? The Lean proof shows $c(n) = o(n^n)$ along odd dimensions.

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