DOIAbstract
AbstractA general formula for summation over weighted compositions is developed. From this a number of particular results involving the Fibonacci numbers and binomial coefficients are deduced
AbstractA general formula for summation over weighted compositions is developed. From this a number of particular results involving the Fibonacci numbers and binomial coefficients are deduced
We study Fibonacci compositions, which are compositions of natural numbers that only use Fibonacci n...
An n-color composition of n is a composition of n where a part k has k possible colors. It is known ...
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomia...
AbstractA general formula for summation over weighted compositions is developed. From this a number ...
In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with...
AbstractA summation formula related to the Fibonacci expansion of integers is given
In the paper the conclusion of combinatorial expressions for the sums of members of several sequence...
Abstract. A combinatorial argument is used to explain the integrality of Fi-bonomial coefficients an...
This paper presents a summation of series of binomial coefficients in combinatorial geometric series...
This paper presents the summations of binomial expansions with the optimized binomial coefficients a...
This paper presents a summation of series of binomial coefficients in combinatorial geometric series...
In this paper, we will investigate and evaluate, in closed forms, three binomial sums weighted by fa...
AbstractIn this paper we prove the formula∑k=0nww+dk(p−bkn−k)(q−bkk)=∑k=0n(−1)k(p−bw/dk)(k+w/dk)−1(p...
We give a combinatorial interpretation of the Fibonacci numbers, then use this interpretation as a t...
Some identities of sums associated with harmonic numbers and binomial coefficients are developed. In...
We study Fibonacci compositions, which are compositions of natural numbers that only use Fibonacci n...
An n-color composition of n is a composition of n where a part k has k possible colors. It is known ...
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomia...
AbstractA general formula for summation over weighted compositions is developed. From this a number ...
In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with...
AbstractA summation formula related to the Fibonacci expansion of integers is given
In the paper the conclusion of combinatorial expressions for the sums of members of several sequence...
Abstract. A combinatorial argument is used to explain the integrality of Fi-bonomial coefficients an...
This paper presents a summation of series of binomial coefficients in combinatorial geometric series...
This paper presents the summations of binomial expansions with the optimized binomial coefficients a...
This paper presents a summation of series of binomial coefficients in combinatorial geometric series...
In this paper, we will investigate and evaluate, in closed forms, three binomial sums weighted by fa...
AbstractIn this paper we prove the formula∑k=0nww+dk(p−bkn−k)(q−bkk)=∑k=0n(−1)k(p−bw/dk)(k+w/dk)−1(p...
We give a combinatorial interpretation of the Fibonacci numbers, then use this interpretation as a t...
Some identities of sums associated with harmonic numbers and binomial coefficients are developed. In...
We study Fibonacci compositions, which are compositions of natural numbers that only use Fibonacci n...
An n-color composition of n is a composition of n where a part k has k possible colors. It is known ...
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomia...
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