Geodesic
Unimodal rays in the regular and generalized Pascal pyramids
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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The present paper shows that any sequence of integers laying along a finite ray in any Pascal-pyramid is log-concave, consequently unimodal. Further, we describe an algorithm which provides the plateaus of the diagonal sequences locating on layer $n$ of the regular Pascal pyramid.
DOI : 10.37236/566
Classification : 11B65, 11B83
Mots-clés : Pascal pyramids 
@article{10_37236_566,
     author = {Hac\`ene Belbachir and L\'aszl\'o Szalay},
     title = {Unimodal rays in the regular and generalized {Pascal} pyramids},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/566},
     zbl = {1215.11012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/566/}
}
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Hacène Belbachir; László Szalay. Unimodal rays in the regular and generalized Pascal pyramids. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/566

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