Relations between e, $π$, golden ratios and $\sqrt{2}$
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909993553362944 |
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| author | Kumar, Asutosh |
| author_facet | Kumar, Asutosh |
| contents | We write out relations between the base of natural logarithms ($e$), the ratio of the circumference of a circle to its diameter ($π$), the golden ratios ($Φ_p$) of the additive $p$-sequences, and the ratio of the diagonal of a square to its side ($\sqrt{2}$). An additive $p$-sequence is a natural extension of the Fibonacci sequence in which every term is the sum of $p$-previous terms given $p \ge 1$ initial values called seeds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_09643 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relations between e, $π$, golden ratios and $\sqrt{2}$ Kumar, Asutosh General Mathematics We write out relations between the base of natural logarithms ($e$), the ratio of the circumference of a circle to its diameter ($π$), the golden ratios ($Φ_p$) of the additive $p$-sequences, and the ratio of the diagonal of a square to its side ($\sqrt{2}$). An additive $p$-sequence is a natural extension of the Fibonacci sequence in which every term is the sum of $p$-previous terms given $p \ge 1$ initial values called seeds. |
| title | Relations between e, $π$, golden ratios and $\sqrt{2}$ |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2301.09643 |