Difference between revisions of "Nielsen-Ramanujan sequence"
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(Created page with "The Nielsen-Ramanujan sequence $\{a_k\}$ is given by $$a_k=\displaystyle\int_1^2 \dfrac{(\log(x))^k}{x-1} \mathrm{d}x,$$ where $\log$ denotes the logarithm.") |
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| − | The Nielsen-Ramanujan sequence $\{a_k\}$ is given by | + | The Nielsen-Ramanujan sequence $\{a_k\}_{k=0}^{\infty}$ is given by |
$$a_k=\displaystyle\int_1^2 \dfrac{(\log(x))^k}{x-1} \mathrm{d}x,$$ | $$a_k=\displaystyle\int_1^2 \dfrac{(\log(x))^k}{x-1} \mathrm{d}x,$$ | ||
where $\log$ denotes the [[logarithm]]. | where $\log$ denotes the [[logarithm]]. | ||
Revision as of 18:03, 14 May 2016
The Nielsen-Ramanujan sequence $\{a_k\}_{k=0}^{\infty}$ is given by $$a_k=\displaystyle\int_1^2 \dfrac{(\log(x))^k}{x-1} \mathrm{d}x,$$ where $\log$ denotes the logarithm.
