In this note I prove a~claim on determinants of some special tridiagonalmatrices. Together with my result about Fibonacci partitions(arXiv:math/0307150), this claim allows one to prove one (slightlystrengthened) Shallit's result about such partitions.Comment: 5 pages. The final published versio
AbstractWe provide a counterexample to a question of Merikoski and Virtanen relating to the determin...
In this paper, we provide combinatorial interpretations for some deter-minantal identities involving...
Several authors have recently considered the smallest positive part missing from an integer partitio...
There are many known connections between determinants of tridiagonal matrices and the Fibonacci and ...
This paper was circulated in handwritten form in March 1982 and contained Sections 1-4 below. There...
AbstractThis paper is about a connection between a general problem of partitions in Z/nZ and the exp...
We use the sum property for determinants of matrices to give a three-stage proof of an identity invo...
A matrix is Bohemian if its elements are taken from a finite set of integers. We enumerate all poss...
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyc...
Determinants provide an unusual means of discovering identities involv-ing elements of any Fibonacci...
In this note, we recall several connections between the determinant of some tridiagonal matrices and...
Abstract. We prove three conjectures concerning the evaluation of de-terminants, which are related t...
AbstractWe provide a theorem and a counterexample relating to the determinantal conjecture of Marcus...
AbstractIn two previous papers we have presented partition formulas for the Fibonacci numbers motiva...
AbstractP(n) and Pm(n) denote the number of (unordered) partitions of n and the number of partitions...
AbstractWe provide a counterexample to a question of Merikoski and Virtanen relating to the determin...
In this paper, we provide combinatorial interpretations for some deter-minantal identities involving...
Several authors have recently considered the smallest positive part missing from an integer partitio...
There are many known connections between determinants of tridiagonal matrices and the Fibonacci and ...
This paper was circulated in handwritten form in March 1982 and contained Sections 1-4 below. There...
AbstractThis paper is about a connection between a general problem of partitions in Z/nZ and the exp...
We use the sum property for determinants of matrices to give a three-stage proof of an identity invo...
A matrix is Bohemian if its elements are taken from a finite set of integers. We enumerate all poss...
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyc...
Determinants provide an unusual means of discovering identities involv-ing elements of any Fibonacci...
In this note, we recall several connections between the determinant of some tridiagonal matrices and...
Abstract. We prove three conjectures concerning the evaluation of de-terminants, which are related t...
AbstractWe provide a theorem and a counterexample relating to the determinantal conjecture of Marcus...
AbstractIn two previous papers we have presented partition formulas for the Fibonacci numbers motiva...
AbstractP(n) and Pm(n) denote the number of (unordered) partitions of n and the number of partitions...
AbstractWe provide a counterexample to a question of Merikoski and Virtanen relating to the determin...
In this paper, we provide combinatorial interpretations for some deter-minantal identities involving...
Several authors have recently considered the smallest positive part missing from an integer partitio...
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