Series Representation Of Power Function

Kolosov Petro
2018 Zenodo  
Abstract: In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence A287326 in OEIS. The main property of A287326 that it returns a perfect cube n as sum of n-th row terms over k, 0 <= k <= n-1 or 1 <= k <= n, by means of its symmetry. In this paper we have derived a similar triangles in order to receive powers m=5,7 as row items sum and generalized obtained results in order to receive every odd-powered monomial n2m+1, m <= 0 as sum of row terms of
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doi:10.5281/zenodo.1254311 fatcat:55ab5kszsrdstl2cw4pmf4iegi