Connection between ordinary multinomials, Fibonacci numbers, Bell polynomials and discrete uniform distribution.
Continued fractions, Fibonacci numbers, and some classes of irrational numbers.
Convoluted convolved Fibonacci numbers.
Convolution of second order linear recursive sequences II.
We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.
Corrections to the paper "Quasiperfect numbers"
Corrigendum to the paper "Generalized Eulerian numbers: combinatorial applications".
Corrigendum to the paper "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory"
Counting functions and finite differences.
Counting Keith numbers.
Counting Maximal Distance-Independent Sets in Grid Graphs
Previous work on counting maximal independent sets for paths and certain 2-dimensional grids is extended in two directions: 3-dimensional grid graphs are included and, for some/any ℓ ∈ N, maximal distance-ℓ independent (or simply: maximal ℓ-independent) sets are counted for some grids. The transfer matrix method has been adapted and successfully applied
Criteria for testing Wall's question
In this paper we find certain equivalent formulations of Wall's question and derive two interesting criteria that can be used to resolve this question for particular primes.
Cyclotomic properties of the Rudin-Shapiro polynomials.