Geodesic
Periodicity and parity theorems for a statistic on $r$-mino arrangements
Journal of integer sequences, Tome 9 (2006) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study polynomial generalizations of the $r$-Fibonacci and $r$-Lucas sequences which arise in connection with a certain statistic on linear and circular $r$-mino arrangements, respectively. By considering special values of these polynomials, we derive periodicity and parity theorems for this statistic on the respective structures.
Classification : 11B39, 05A15
Keywords: r-mino arrangement, polynomial generalization, Fibonacci numbers, Lucas numbers 
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     title = {Periodicity and parity theorems for a statistic on $r$-mino arrangements},
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Shattuck, Mark A.; Wagner, Carl G. Periodicity and parity theorems for a statistic on $r$-mino arrangements. Journal of integer sequences, Tome 9 (2006) no. 3. http://geodesic.mathdoc.fr/item/JIS_2006__9_3_a7/