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According to OEIS, there are closed form for directed Hamiltonian paths (A096121) and Hamiltonian cycles (A276356) of rook graph on $n\times2$ chessboard. Are there papers which include proof of those closed forms? Are there closed forms for $n\times m$ (A269565, A269562) with $m>2$?

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    $\begingroup$ At least for oeis.org/A276356, the comments on the OEIS sequence appear to contain a proof. $\endgroup$ – Misha Lavrov Mar 9 at 16:02
  • $\begingroup$ @MishaLavrov, thank you for comment! Given proof is not clear to me. $\endgroup$ – user514787 Mar 9 at 16:24

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