The paper gives rational generating functions for p-Fibonacci polyominoes by area, semiperimeter, and inner points, plus bijections to binary words and compositions.
Bernini, Restricted binary strings and generalized Fibonacci numbe rs, In: International Workshop on Cellular Automata and Discrete Complex Systems, Springer (2017 ), 32–43
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Generating Trees and Fibonacci Polyominoes
The paper gives rational generating functions for p-Fibonacci polyominoes by area, semiperimeter, and inner points, plus bijections to binary words and compositions.