Results 51 to 60 of about 569 (73)

Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

and [PDF]

. We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Flavio Bonetti, Marilena Barnabei, Matteo Silimbani   +2 more
core  

Identities on the k-ary Lyndon words related to a family of zeta functions

, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core  

The Eulerian numbers on restricted centrosymmetric permutations

, 2009
We study the descent distribution over the set of centrosymmetric permutations that avoid the pattern of length 3. Our main tool in the most puzzling case, namely, $\tau=123$ and $n$ even, is a bijection that associates a Dyck prefix of length $2n$ to ...
Barnabei, Marilena, Bonetti, Flavio, Silimbani, Matteo   +2 more
core  

Grid classes and the Fibonacci dichotomy for restricted permutations

, 2006
We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof of the Fibonacci dichotomy: the number of permutations of length n in a ...
Huczynska, Sophie, Vatter, Vincent
core  

Combinatorial interpretations of the Jacobi-Stirling numbers

, 2009
The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Gelineau, Yoann, Zeng, Jiang
core   +1 more source

Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations. [PDF]

SIAM J Discret Math, 2020
Mansour T, Rastegar R, Roitershtein A.
europepmc   +1 more source

Blocks in cycles and k-commuting permutations. [PDF]

Springerplus, 2016
Moreno R, Rivera LM.
europepmc   +1 more source

Generalized Catalan Numbers, Weyl Groups and Arrangements of Hyperplanes

, 2004
Christos A. Athanasiadis
semanticscholar   +1 more source

The Generating Function of the Catalan Numbers and Lower Triangular Integer Matrices

, 2017
Feng Qi (祁锋), Xiaowei Qin, Yong-hong Yao   +2 more
semanticscholar   +1 more source