Add to ORKGCopyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this note we derive the explicit, non-recursive form of the coeffi-cients of the polynomial associated with the sums of powers of the first n odd integers. As a by-product, we deduce a couple of new identities involving the Bernoulli numbers
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are establ...
This expository thesis examines the relationship between finite sums of powers and a sequence of num...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
Power sum is one of the interesting topics in number theory where its application in other sciences ...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
This paper aims to provide a new general explicit polynomial solution on power sums of consecutive p...
In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinar...
An investigation of the origin of the formulas for the sums of integer powers was performed. A metho...
In this manuscript we provide a new polynomial pattern. This pattern allows to find a polynomial exp...
A number of sequences based on sums of powers of integers is pre-sented. This approach provides a si...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
We present a proof of an identity involving the Bernoulli numbers. This identity has been proved, ov...
We give explicit formulæ for sums of even powers of secant and cosecant values in terms of Bernoulli...
We show that explicit forms for certain polynomials~$\psi^{(a)}_m(n)$ with the property \[ \psi^{(a+...
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are establ...
This expository thesis examines the relationship between finite sums of powers and a sequence of num...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
Power sum is one of the interesting topics in number theory where its application in other sciences ...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
This paper aims to provide a new general explicit polynomial solution on power sums of consecutive p...
In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinar...
An investigation of the origin of the formulas for the sums of integer powers was performed. A metho...
In this manuscript we provide a new polynomial pattern. This pattern allows to find a polynomial exp...
A number of sequences based on sums of powers of integers is pre-sented. This approach provides a si...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
We present a proof of an identity involving the Bernoulli numbers. This identity has been proved, ov...
We give explicit formulæ for sums of even powers of secant and cosecant values in terms of Bernoulli...
We show that explicit forms for certain polynomials~$\psi^{(a)}_m(n)$ with the property \[ \psi^{(a+...
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are establ...
This expository thesis examines the relationship between finite sums of powers and a sequence of num...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...