(Universidad de Cuenca, 2013-12) Vásquez B., Marco V.; Universidad de Cuenca; DIUC; Dirección de Investigación de la Universidad de Cuenca
In this paper it is demonstrated that the power (p + q) of a natural number (n), can be derived as the
sum of a series of consecutive odd numbers. The series of the summation is conditioned by a lower
and upper boundary, being equal to half the difference plus 1, and respectively half the sum of the
powers p and q of the natural number.
The algorithm, notwithstanding its simplicity, offers some interesting opportunities in the applications
of number theory to numerical analysis.
