Results 21 to 30 of about 357 (66)

Some new results for the (p,q)-Fibonacci and Lucas polynomials

, 2014
In this paper, we investigate some arithmetic properties for the (p,q)-Fibonacci and Lucas polynomials associated with the classical Fibonacci and Lucas numbers.
Jingzhe Wang
semanticscholar   +1 more source

SOME ALGEBRAIC RELATIONS ON AN INTEGER SEQUENCE WITH FIXED PARAMETER

Acta Universitatis Apulensis, 2019
Let a ≥ 2 be an integer. In this work we set an integer sequence Ua n = Un(a+ 1, a) and deduced some algebraic relations on it. 2010 Mathematics Subject Classification: 05A19, 11B37, 11B39.
Arzu Özkoç Öztürk, A. Tekcan
semanticscholar   +1 more source

On $t$-extensions of the Hankel determinants of certain automatic sequences

, 2014
In 1998, Allouche, Peyri\`ere, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.
Fu, Hao, Han, Guo-Niu
core   +1 more source

Link between Hosoya index and Fibonacci numbers

, 2018
Let G be a graph and Z.G/ be its Hosoya index. We show how the Hosoya index can be a good tool to establish some new identities involving Fibonacci numbers. This permits to extend Hillard and Windfeldt work. 2010 Mathematics Subject Classification: 05A19;
H. Belbachir, Hakim Harik
semanticscholar   +1 more source

New formulae of products of the Frobenius-Euler polynomials

, 2014
In this paper, we perform a further investigation for the Frobenius-Euler polynomials. Some new formulae of products of the Frobenius-Euler polynomials are established by applying the generating function methods and some summation transform techniques ...
Yuan He, Sherry J Wang
semanticscholar   +1 more source

Bijective enumerations of $\Gamma$-free 0-1 matrices

, 2017
We construct a new bijection between the set of $n\times k$ $0$-$1$ matrices with no three $1$'s forming a $\Gamma$ configuration and the set of $(n,k)$-Callan sequences, a simple structure counted by poly-Bernoulli numbers.
Bényi, Beáta, Nagy, Gábor V.
core   +1 more source

An inversion metric for reduced words

, 2018
We study the graph on reduced words with edges given by the Coxeter relations for the symmetric group. We define a metric on reduced words for a given permutation, analogous to Coxeter length for permutations, for which the graph becomes ranked with ...
Assaf, Sami
core   +1 more source

On differentiability of a class of orthogonally invariant functions on several operator variables

, 2018
In this work, we study a connection between two classes of orthogonally invariant functions. Both types of functions are defined on Sn1 × . . .× Snk . The functions in the first class take their values in Sn1 ···nk , while those in the second take values
T. Jiang, Hristo S. Sendov
semanticscholar   +1 more source

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

Two permutation classes enumerated by the central binomial coefficients [PDF]

, 2013
We define a map between the set of permutations that avoid either the four patterns $3214,3241,4213,4231$ or $3124,3142,4123,4132$, and the set of Dyck prefixes.
Barnabei, Marilena, Bonetti, Flavio, Silimbani, Matteo   +2 more
core   +1 more source