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arXiv · 1702.00901

A set of the Vi\`ete-like recurrence relations for the unity constant

S. M. Abrarov·B. M. Quine
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Abstract

Using a simple Vi\`ete-like formula for $\pi$ based on the nested radicals $a_k = \sqrt{2 + a_{k-1}}$ and $a_1 = \sqrt{2}$, we derive a set of the recurrence relations for the constant $1$. Computational test shows that application of this set of the Vi\`ete-like recurrence relations results in a rapid convergence to unity.

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S. M. Abrarov, B. M. Quine. 2017-02-03. A set of the Vi\`ete-like recurrence relations for the unity constant. https://arxiv.org/abs/1702.00901

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