On a generalization of the Narayana triangle
Journal of integer sequences, Tome 14 (2011) no. 4
By studying various ways of describing the Narayana triangle, we provide a number of generalizations of this triangle and study some of their properties. In some cases, the diagonal sums of these triangles provide examples of Somos-4 sequences via their Hankel transforms.
Classification :
11B83, 05A10, 05A15, 11B37, 11Y55, 15A15, 15A30, 30B70
Keywords: narayana triangle, continued fraction, riordan array, Hankel determinant, Hankel transform, somos-4
Keywords: narayana triangle, continued fraction, riordan array, Hankel determinant, Hankel transform, somos-4
@article{JIS_2011__14_4_a6,
author = {Barry, Paul},
title = {On a generalization of the {Narayana} triangle},
journal = {Journal of integer sequences},
year = {2011},
volume = {14},
number = {4},
zbl = {1232.11039},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a6/}
}
Barry, Paul. On a generalization of the Narayana triangle. Journal of integer sequences, Tome 14 (2011) no. 4. http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a6/