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Post Closed as "Not suitable for this site" by user9072, Chris Gerig, Christian Remling, Wolfgang, Stefan Kohl♦
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Michael Hardy
Michael Hardy
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This was first posted to SE, but now I think its better to be posted here.

For what positive real numbers $\alpha$, the sequence $a_n = \frac{[n\alpha]}n $$a_n = \frac{\lfloor n\alpha\rfloor}n $ is (not necessary strictly) increasing for sufficiently large indexes ? ($[x]$$\lfloor x\rfloor$ is the integer part of $x$).

This was first posted to SE, but now I think its better to be posted here.

For what positive real numbers $\alpha$, the sequence $a_n = \frac{[n\alpha]}n $ is (not necessary strictly) increasing for sufficiently large indexes ? ($[x]$ is the integer part of $x$).

This was first posted to SE, but now I think its better to be posted here.

For what positive real numbers $\alpha$, the sequence $a_n = \frac{\lfloor n\alpha\rfloor}n $ is (not necessary strictly) increasing for sufficiently large indexes ? ($\lfloor x\rfloor$ is the integer part of $x$).

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alex alexeq
alex alexeq
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An increasing sequence of real numbers

This was first posted to SE, but now I think its better to be posted here.

For what positive real numbers $\alpha$, the sequence $a_n = \frac{[n\alpha]}n $ is (not necessary strictly) increasing for sufficiently large indexes ? ($[x]$ is the integer part of $x$).