Geodesic
On some (pseudo) involutions in the Riordan group
Journal of integer sequences, Tome 8 (2005) no. 3.

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

Summary: In this paper, we address a question posed by L. Shapiro regarding algebraic and/or combinatorial characterizations of the elements of order 2 in the Riordan group. We present two classes of combinatorial matrices having pseudo-order 2. In one class, we find generalizations of Pascal's triangle and use some special cases to discover and prove interesting identities. In the other class, we find generalizations of Nkwanta's RNA triangle and show that they are pseudo-involutions.
Classification : 05A15, 05A19
Keywords: riordan arrays, Catalan numbers, lattice paths, combinatorial identity 
@article{JIS_2005__8_3_a2,
     author = {Cameron, Naiomi T. and Nkwanta, Asamoah},
     title = {On some (pseudo) involutions in the {Riordan} group},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a2/}
}
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Cameron, Naiomi T.; Nkwanta, Asamoah. On some (pseudo) involutions in the Riordan group. Journal of integer sequences, Tome 8 (2005) no. 3. http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a2/