Geodesic
Parity theorems for statistics on lattice paths and Laguerre configurations
Journal of integer sequences, Tome 8 (2005) no. 5.

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

Summary: We examine the parity of some statistics on lattice paths and Laguerre configurations, giving both algebraic and combinatorial treatments. For the former, we evaluate q-generating functions at q=−1; for the latter, we define appropriate parity-changing involutions on the associated structures. In addition, we furnish combinatorial proofs for a couple of related recurrences.
Classification : 05A99, 05A10
Mots-clés : Laguerre configuration, lah numbers, lattice paths, q-binomial coefficient 
@article{JIS_2005__8_5_a1,
     author = {Shattuck, Mark A. and Wagner, Carl G.},
     title = {Parity theorems for statistics on lattice paths and {Laguerre} configurations},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {8},
     number = {5},
     year = {2005},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a1/}
}
TY  - JOUR
AU  - Shattuck, Mark A.
AU  - Wagner, Carl G.
TI  - Parity theorems for statistics on lattice paths and Laguerre configurations
JO  - Journal of integer sequences
PY  - 2005
VL  - 8
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a1/
LA  - en
ID  - JIS_2005__8_5_a1
ER  - 
%0 Journal Article
%A Shattuck, Mark A.
%A Wagner, Carl G.
%T Parity theorems for statistics on lattice paths and Laguerre configurations
%J Journal of integer sequences
%D 2005
%V 8
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a1/
%G en
%F JIS_2005__8_5_a1
Shattuck, Mark A.; Wagner, Carl G. Parity theorems for statistics on lattice paths and Laguerre configurations. Journal of integer sequences, Tome 8 (2005) no. 5. https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a1/