Geodesic
A new statistic on linear and circular \(r\)-mino arrangements
The electronic journal of combinatorics, Tome 13 (2006)
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We introduce a new statistic on linear and circular $r$-mino arrangements which leads to interesting polynomial generalizations of the $r$-Fibonacci and $r$-Lucas sequences. By studying special values of these polynomials, we derive periodicity and parity theorems for this statistic.
DOI : 10.37236/1068
Classification : 11B39, 05A15 
@article{10_37236_1068,
     author = {Mark A. Shattuck and Carl G. Wagner},
     title = {A new statistic on linear and circular \(r\)-mino arrangements},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1068},
     zbl = {1165.11306},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1068/}
}
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Mark A. Shattuck; Carl G. Wagner. A new statistic on linear and circular \(r\)-mino arrangements. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1068

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