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Mohamadou Bachabi and Alain S. Togbé, <a href="https://hrcak.srce.hr/file/464241">Products of Fermat or Mersenne numbers in some sequences</a>, Math. Comm. (2024) Vol. 29, 265-285.
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For n >= 2, a(n+5) is the number of ways to tile the 1xn board with dominoes and squares (ie. size 1x1) such that are either none or one squares between dominoes, none or one squares at both ends of the board, and there is at least one domino. For example, for n=6, a(11)=4 since the tilings are |2|2, |22|, 2|2| and 222 (where 2 represents a domino and | a square). - Enrique Navarrete, Aug 31 2024
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