Solution of a question (5156). (Q1554678)
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scientific article; zbMATH DE number 2712490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of a question (5156). |
scientific article; zbMATH DE number 2712490 |
Statements
Solution of a question (5156). (English)
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1878
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Bezeichnet man mit \(S_n\; n\) Glieder der Reihe \[ \frac 1{\sin\frac 13 \pi} \left\{ \frac 1n \sin n\frac 13\pi + \frac {2n}1\cdot\frac {\sin (n-1)\frac 13 \pi}{n-1} +\frac {2n(2n-1)}{1.2}\cdot \frac {\sin (n-2)\frac 13\pi}{n-2} +\dotsm \right\} , \] so ist \[ nS_n=(4n-2)S_{n-1}+3^{n-1}, \] und \(nS_n\) ist theilbar durch \(3^n\) oder \(3^{n-1}\).
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Trigonometric functions
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