4
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How many ways are there to fill an $n\times n$ board with squares with varying sizes?

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  • $\begingroup$ you want it completely filled right? $\endgroup$ – Jorge Fernández Hidalgo Jul 31 '16 at 5:57
  • $\begingroup$ the board, that is .... $\endgroup$ – Jorge Fernández Hidalgo Jul 31 '16 at 5:57
  • $\begingroup$ Interesting problem, did you have any preliminary thoughts or results? $\endgroup$ – Joffan Jul 31 '16 at 5:57
  • $\begingroup$ Yes, meaning, there are no rectangular shapes left. $\endgroup$ – SoloNasus Jul 31 '16 at 5:58
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    $\begingroup$ oeis.org/A045846 $\endgroup$ – Marcus Andrews Jul 31 '16 at 6:31
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There appears to be such a sequence in OIES: https://oeis.org/A045846

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