Series Representation of Power Function
Résumé
In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence $\href{https://oeis.org/A287326}{A287326}$ in OEIS. The main property of $\href{https://oeis.org/A287326}{A287326}$ that it returns a perfect cube $n$ as sum of $n$-th row terms over $k, \ 0\leq k\leq n-1$ or $1\leq k\leq n$, 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 $n^{2m+1}, \ m\geq0$ as sum of row terms of corresponding triangle.
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