Classroom note: A formula for the calculation of ∑j = 1n jk
Formulas presented for the calculation of do not have a closed form; they are in the form of recursive or complex formulas. Here an attempt is made to present a simple formula in which it is only necessary to compute the numerical coefficients in a recursive form, and the coefficients in turn follow a simple pattern (almost similar to Pascal's Triangle). Although the pattern for calculating numerical coefficients based on forming a table is easy, non-recursive formulas are presented to determine the numerical coefficients.
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Document Type: Research Article
Affiliations: Department of Mathematics University of Lorestan Khorramabad Iran
Publication date: 2003-07-01