Results 31 to 40 of about 472 (72)

The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences [PDF]

open access: yes, 2014
Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.Comment: 23 ...
Ballot, Christian
core  

All or Nothing at All [PDF]

open access: yes, 2015
We continue a study of unconditionally secure all-or-nothing transforms (AONT) begun in \cite{St}. An AONT is a bijective mapping that constructs s outputs from s inputs. We consider the security of t inputs, when s-t outputs are known.
D'Arco, Paolo   +2 more
core   +1 more source

On hypercomplex numbers with third-order $k$-Jacobsthal numbers

open access: yesUkrains’kyi Matematychnyi Zhurnal
UDC 517.5 We introduce a new family of hypercomplex numbers by using third-order $k$-Jacobsthal numbers. These sequences are called the third-order $k$-Jacobsthal $2^{r}$-ions. We present some algebraic properties of the third order $k$-Jacobsthal $2^{r}$-ions, such as the recurrence relation, the Binet formula, generating function, exponential ...
openaire   +1 more source

Generalization of Gaussian third-order Jacobsthal numbers and their new families

open access: yes
In this study, we introduce the generalized Gaussian third-order Jacobsthal numbers with arbitrary initial values and discuss two particular cases, namely, Gaussian third-order Jacobsthal and Gaussian modified third-order Jacobsthal numbers. In this paper we discuss several of its algebraic properties such as Binet's formula, partial sum, generating ...
openaire   +2 more sources

Inflations of Geometric Grid Classes: Three Case Studies

open access: yes, 2012
We enumerate three specific permutation classes defined by two forbidden patterns of length four.
Albert, Michael H.   +2 more
core   +1 more source

On Gauss third-order Jacobsthal numbers and their applications

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2021
openaire   +1 more source

Home - About - Disclaimer - Privacy