Geodesic
\(\lambda\)-Euler's difference table for colored permutations
Bin Han1
1Institut Camille Jordan, University Claude Bernard Lyon 1
The electronic journal of combinatorics, Tome 25 (2018) no. 4
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Motivated by the $\lambda$-Euler's difference table of Eriksen et al. and colored Euler's difference table of Faliharimalala and Zeng, we study the $\lambda$-analogue of colored Euler's difference table and generalize their results. We generalize the number of permutations with $k$-excedances studied by Liese and Remmel in colored permutations. We also extend Wang et al.'s recent results about $r$-derangements by relating with the sequences arising from the difference table.
DOI : 10.37236/7661
Classification : 05A18, 05A15

Bin Han  1

1 Institut Camille Jordan, University Claude Bernard Lyon 1 
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     author = {Bin Han},
     title = {\(\lambda\)-Euler's difference table for colored permutations},
     journal = {The electronic journal of combinatorics},
     year = {2018},
     volume = {25},
     number = {4},
     doi = {10.37236/7661},
     zbl = {1402.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7661/}
}
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Bin Han. \(\lambda\)-Euler's difference table for colored permutations. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/7661

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